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Finding the Fourth Proportional to 1,983.91, 2,737.01 and 1,275.65

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Solution

The fourth proportional to 1,983.91, 2,737.01 and 1,275.65 is: 1,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.91 : 2,737.01 = 1,275.65 : x
  2. Step 2: Convert to fraction form
    1,983.91/2,737.01 = 1,275.65/x
  3. Step 3: Cross multiply
    1,983.91x = 2,737.01 × 1,275.65
  4. Step 4: Simplify right side
    1,983.91x = 3,491,466.81
  5. Step 5: Solve for x
    x = 3,491,466.81/1,983.91
  6. Step 6: Final answer
    x = 1,759.89

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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.