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Finding the Fourth Proportional to 1,782.54, 2,460.06 and 996.75

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Solution

The fourth proportional to 1,782.54, 2,460.06 and 996.75 is: 1,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.54 : 2,460.06 = 996.75 : x
  2. Step 2: Convert to fraction form
    1,782.54/2,460.06 = 996.75/x
  3. Step 3: Cross multiply
    1,782.54x = 2,460.06 × 996.75
  4. Step 4: Simplify right side
    1,782.54x = 2,452,064.81
  5. Step 5: Solve for x
    x = 2,452,064.81/1,782.54
  6. Step 6: Final answer
    x = 1,375.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.