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Finding the Fourth Proportional to 1,581.96, 2,372.55 and 471.15

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Solution

The fourth proportional to 1,581.96, 2,372.55 and 471.15 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.96 : 2,372.55 = 471.15 : x
  2. Step 2: Convert to fraction form
    1,581.96/2,372.55 = 471.15/x
  3. Step 3: Cross multiply
    1,581.96x = 2,372.55 × 471.15
  4. Step 4: Simplify right side
    1,581.96x = 1,117,826.93
  5. Step 5: Solve for x
    x = 1,117,826.93/1,581.96
  6. Step 6: Final answer
    x = 706.61

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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.