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Finding the Fourth Proportional to 2,921.92, 4,031.90 and 1,663.14

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Solution

The fourth proportional to 2,921.92, 4,031.90 and 1,663.14 is: 2,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.92 : 4,031.90 = 1,663.14 : x
  2. Step 2: Convert to fraction form
    2,921.92/4,031.90 = 1,663.14/x
  3. Step 3: Cross multiply
    2,921.92x = 4,031.90 × 1,663.14
  4. Step 4: Simplify right side
    2,921.92x = 6,705,614.17
  5. Step 5: Solve for x
    x = 6,705,614.17/2,921.92
  6. Step 6: Final answer
    x = 2,294.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.