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Finding the Fourth Proportional to 2,525.37, 3,788.04 and 965.01

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Solution

The fourth proportional to 2,525.37, 3,788.04 and 965.01 is: 1,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.37 : 3,788.04 = 965.01 : x
  2. Step 2: Convert to fraction form
    2,525.37/3,788.04 = 965.01/x
  3. Step 3: Cross multiply
    2,525.37x = 3,788.04 × 965.01
  4. Step 4: Simplify right side
    2,525.37x = 3,655,496.48
  5. Step 5: Solve for x
    x = 3,655,496.48/2,525.37
  6. Step 6: Final answer
    x = 1,447.51

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Double scale
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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.