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Finding the Fourth Proportional to 2,151.85, 3,218.05 and 1,658.17

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Solution

The fourth proportional to 2,151.85, 3,218.05 and 1,658.17 is: 2,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.85 : 3,218.05 = 1,658.17 : x
  2. Step 2: Convert to fraction form
    2,151.85/3,218.05 = 1,658.17/x
  3. Step 3: Cross multiply
    2,151.85x = 3,218.05 × 1,658.17
  4. Step 4: Simplify right side
    2,151.85x = 5,336,073.97
  5. Step 5: Solve for x
    x = 5,336,073.97/2,151.85
  6. Step 6: Final answer
    x = 2,479.76

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