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Finding the Fourth Proportional to 2,139.31, 2,952.91 and 1,983.49

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Solution

The fourth proportional to 2,139.31, 2,952.91 and 1,983.49 is: 2,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.31 : 2,952.91 = 1,983.49 : x
  2. Step 2: Convert to fraction form
    2,139.31/2,952.91 = 1,983.49/x
  3. Step 3: Cross multiply
    2,139.31x = 2,952.91 × 1,983.49
  4. Step 4: Simplify right side
    2,139.31x = 5,857,051.40
  5. Step 5: Solve for x
    x = 5,857,051.40/2,139.31
  6. Step 6: Final answer
    x = 2,737.82

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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.