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Finding the Fourth Proportional to 2,525.44, 3,788.16 and 986.24

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Solution

The fourth proportional to 2,525.44, 3,788.16 and 986.24 is: 1,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.44 : 3,788.16 = 986.24 : x
  2. Step 2: Convert to fraction form
    2,525.44/3,788.16 = 986.24/x
  3. Step 3: Cross multiply
    2,525.44x = 3,788.16 × 986.24
  4. Step 4: Simplify right side
    2,525.44x = 3,736,034.92
  5. Step 5: Solve for x
    x = 3,736,034.92/2,525.44
  6. Step 6: Final answer
    x = 1,479.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.