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Finding the Fourth Proportional to 1,520.36, 2,281.62 and 546.61

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Solution

The fourth proportional to 1,520.36, 2,281.62 and 546.61 is: 820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.36 : 2,281.62 = 546.61 : x
  2. Step 2: Convert to fraction form
    1,520.36/2,281.62 = 546.61/x
  3. Step 3: Cross multiply
    1,520.36x = 2,281.62 × 546.61
  4. Step 4: Simplify right side
    1,520.36x = 1,247,156.31
  5. Step 5: Solve for x
    x = 1,247,156.31/1,520.36
  6. Step 6: Final answer
    x = 820.30

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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.