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Finding the Fourth Proportional to 3,151.97, 4,349.82 and 1,735.58

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Solution

The fourth proportional to 3,151.97, 4,349.82 and 1,735.58 is: 2,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.97 : 4,349.82 = 1,735.58 : x
  2. Step 2: Convert to fraction form
    3,151.97/4,349.82 = 1,735.58/x
  3. Step 3: Cross multiply
    3,151.97x = 4,349.82 × 1,735.58
  4. Step 4: Simplify right side
    3,151.97x = 7,549,471.47
  5. Step 5: Solve for x
    x = 7,549,471.47/3,151.97
  6. Step 6: Final answer
    x = 2,395.16

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