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Finding the Fourth Proportional to 3,154.20, 4,731.30 and 814.20

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Solution

The fourth proportional to 3,154.20, 4,731.30 and 814.20 is: 1,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.20 : 4,731.30 = 814.20 : x
  2. Step 2: Convert to fraction form
    3,154.20/4,731.30 = 814.20/x
  3. Step 3: Cross multiply
    3,154.20x = 4,731.30 × 814.20
  4. Step 4: Simplify right side
    3,154.20x = 3,852,224.46
  5. Step 5: Solve for x
    x = 3,852,224.46/3,154.20
  6. Step 6: Final answer
    x = 1,221.30

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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.