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Finding the Fourth Proportional to 1,680.81, 2,520.37 and 987.69

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Solution

The fourth proportional to 1,680.81, 2,520.37 and 987.69 is: 1,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.81 : 2,520.37 = 987.69 : x
  2. Step 2: Convert to fraction form
    1,680.81/2,520.37 = 987.69/x
  3. Step 3: Cross multiply
    1,680.81x = 2,520.37 × 987.69
  4. Step 4: Simplify right side
    1,680.81x = 2,489,349.38
  5. Step 5: Solve for x
    x = 2,489,349.38/1,680.81
  6. Step 6: Final answer
    x = 1,481.04

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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.