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Finding the Fourth Proportional to 1,901.97, 2,839.41 and 1,656

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Solution

The fourth proportional to 1,901.97, 2,839.41 and 1,656 is: 2,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.97 : 2,839.41 = 1,656 : x
  2. Step 2: Convert to fraction form
    1,901.97/2,839.41 = 1,656/x
  3. Step 3: Cross multiply
    1,901.97x = 2,839.41 × 1,656
  4. Step 4: Simplify right side
    1,901.97x = 4,702,062.96
  5. Step 5: Solve for x
    x = 4,702,062.96/1,901.97
  6. Step 6: Final answer
    x = 2,472.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.