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Finding the Fourth Proportional to 1,520.76, 2,282.82 and 1,089.84

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Solution

The fourth proportional to 1,520.76, 2,282.82 and 1,089.84 is: 1,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.76 : 2,282.82 = 1,089.84 : x
  2. Step 2: Convert to fraction form
    1,520.76/2,282.82 = 1,089.84/x
  3. Step 3: Cross multiply
    1,520.76x = 2,282.82 × 1,089.84
  4. Step 4: Simplify right side
    1,520.76x = 2,487,908.55
  5. Step 5: Solve for x
    x = 2,487,908.55/1,520.76
  6. Step 6: Final answer
    x = 1,635.96

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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.