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Finding the Fourth Proportional to 1,737.60, 2,397.84 and 1,038.96

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Solution

The fourth proportional to 1,737.60, 2,397.84 and 1,038.96 is: 1,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.60 : 2,397.84 = 1,038.96 : x
  2. Step 2: Convert to fraction form
    1,737.60/2,397.84 = 1,038.96/x
  3. Step 3: Cross multiply
    1,737.60x = 2,397.84 × 1,038.96
  4. Step 4: Simplify right side
    1,737.60x = 2,491,259.85
  5. Step 5: Solve for x
    x = 2,491,259.85/1,737.60
  6. Step 6: Final answer
    x = 1,433.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.