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Finding the Fourth Proportional to 1,702, 2,349.74 and 1,287.28

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Solution

The fourth proportional to 1,702, 2,349.74 and 1,287.28 is: 1,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702 : 2,349.74 = 1,287.28 : x
  2. Step 2: Convert to fraction form
    1,702/2,349.74 = 1,287.28/x
  3. Step 3: Cross multiply
    1,702x = 2,349.74 × 1,287.28
  4. Step 4: Simplify right side
    1,702x = 3,024,773.31
  5. Step 5: Solve for x
    x = 3,024,773.31/1,702
  6. Step 6: Final answer
    x = 1,777.19

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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.