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Finding the Fourth Proportional to 4,581.34, 6,874.17 and 1,658.86

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Solution

The fourth proportional to 4,581.34, 6,874.17 and 1,658.86 is: 2,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.34 : 6,874.17 = 1,658.86 : x
  2. Step 2: Convert to fraction form
    4,581.34/6,874.17 = 1,658.86/x
  3. Step 3: Cross multiply
    4,581.34x = 6,874.17 × 1,658.86
  4. Step 4: Simplify right side
    4,581.34x = 11,403,242.98
  5. Step 5: Solve for x
    x = 11,403,242.98/4,581.34
  6. Step 6: Final answer
    x = 2,489.07

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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.