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Finding the Fourth Proportional to 1,701.71, 2,349.72 and 1,142.68

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Solution

The fourth proportional to 1,701.71, 2,349.72 and 1,142.68 is: 1,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.71 : 2,349.72 = 1,142.68 : x
  2. Step 2: Convert to fraction form
    1,701.71/2,349.72 = 1,142.68/x
  3. Step 3: Cross multiply
    1,701.71x = 2,349.72 × 1,142.68
  4. Step 4: Simplify right side
    1,701.71x = 2,684,978.05
  5. Step 5: Solve for x
    x = 2,684,978.05/1,701.71
  6. Step 6: Final answer
    x = 1,577.81

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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.