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Finding the Fourth Proportional to 2,663.38, 3,679.05 and 2,414.98

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Solution

The fourth proportional to 2,663.38, 3,679.05 and 2,414.98 is: 3,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.38 : 3,679.05 = 2,414.98 : x
  2. Step 2: Convert to fraction form
    2,663.38/3,679.05 = 2,414.98/x
  3. Step 3: Cross multiply
    2,663.38x = 3,679.05 × 2,414.98
  4. Step 4: Simplify right side
    2,663.38x = 8,884,832.17
  5. Step 5: Solve for x
    x = 8,884,832.17/2,663.38
  6. Step 6: Final answer
    x = 3,335.92

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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.