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Finding the Fourth Proportional to 1,380.92, 2,071.98 and 1,276.43

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Solution

The fourth proportional to 1,380.92, 2,071.98 and 1,276.43 is: 1,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.92 : 2,071.98 = 1,276.43 : x
  2. Step 2: Convert to fraction form
    1,380.92/2,071.98 = 1,276.43/x
  3. Step 3: Cross multiply
    1,380.92x = 2,071.98 × 1,276.43
  4. Step 4: Simplify right side
    1,380.92x = 2,644,727.07
  5. Step 5: Solve for x
    x = 2,644,727.07/1,380.92
  6. Step 6: Final answer
    x = 1,915.20

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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.