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Finding the Fourth Proportional to 2,614.76, 3,923.49 and 1,737.87

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Solution

The fourth proportional to 2,614.76, 3,923.49 and 1,737.87 is: 2,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.76 : 3,923.49 = 1,737.87 : x
  2. Step 2: Convert to fraction form
    2,614.76/3,923.49 = 1,737.87/x
  3. Step 3: Cross multiply
    2,614.76x = 3,923.49 × 1,737.87
  4. Step 4: Simplify right side
    2,614.76x = 6,818,515.57
  5. Step 5: Solve for x
    x = 6,818,515.57/2,614.76
  6. Step 6: Final answer
    x = 2,607.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.