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Finding the Fourth Proportional to 1,782.71, 2,460.14 and 1,037.16

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Solution

The fourth proportional to 1,782.71, 2,460.14 and 1,037.16 is: 1,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.71 : 2,460.14 = 1,037.16 : x
  2. Step 2: Convert to fraction form
    1,782.71/2,460.14 = 1,037.16/x
  3. Step 3: Cross multiply
    1,782.71x = 2,460.14 × 1,037.16
  4. Step 4: Simplify right side
    1,782.71x = 2,551,553.62
  5. Step 5: Solve for x
    x = 2,551,553.62/1,782.71
  6. Step 6: Final answer
    x = 1,431.28

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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.