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Finding the Fourth Proportional to 1,984.59, 2,737.49 and 1,285.92

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Solution

The fourth proportional to 1,984.59, 2,737.49 and 1,285.92 is: 1,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.59 : 2,737.49 = 1,285.92 : x
  2. Step 2: Convert to fraction form
    1,984.59/2,737.49 = 1,285.92/x
  3. Step 3: Cross multiply
    1,984.59x = 2,737.49 × 1,285.92
  4. Step 4: Simplify right side
    1,984.59x = 3,520,186.71
  5. Step 5: Solve for x
    x = 3,520,186.71/1,984.59
  6. Step 6: Final answer
    x = 1,773.76

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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.