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Finding the Fourth Proportional to 2,381.50, 3,572.72 and 1,149.76

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Solution

The fourth proportional to 2,381.50, 3,572.72 and 1,149.76 is: 1,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.50 : 3,572.72 = 1,149.76 : x
  2. Step 2: Convert to fraction form
    2,381.50/3,572.72 = 1,149.76/x
  3. Step 3: Cross multiply
    2,381.50x = 3,572.72 × 1,149.76
  4. Step 4: Simplify right side
    2,381.50x = 4,107,746.93
  5. Step 5: Solve for x
    x = 4,107,746.93/2,381.50
  6. Step 6: Final answer
    x = 1,724.86

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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.