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Finding the Fourth Proportional to 1,520.12, 2,280.92 and 546.30

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Solution

The fourth proportional to 1,520.12, 2,280.92 and 546.30 is: 819.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.12 : 2,280.92 = 546.30 : x
  2. Step 2: Convert to fraction form
    1,520.12/2,280.92 = 546.30/x
  3. Step 3: Cross multiply
    1,520.12x = 2,280.92 × 546.30
  4. Step 4: Simplify right side
    1,520.12x = 1,246,066.60
  5. Step 5: Solve for x
    x = 1,246,066.60/1,520.12
  6. Step 6: Final answer
    x = 819.72

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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.