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Finding the Fourth Proportional to 1,520.67, 2,282.64 and 1,487.61

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Solution

The fourth proportional to 1,520.67, 2,282.64 and 1,487.61 is: 2,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.67 : 2,282.64 = 1,487.61 : x
  2. Step 2: Convert to fraction form
    1,520.67/2,282.64 = 1,487.61/x
  3. Step 3: Cross multiply
    1,520.67x = 2,282.64 × 1,487.61
  4. Step 4: Simplify right side
    1,520.67x = 3,395,678.09
  5. Step 5: Solve for x
    x = 3,395,678.09/1,520.67
  6. Step 6: Final answer
    x = 2,233.01

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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.