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Finding the Fourth Proportional to 1,843.28, 2,543.70 and 1,003.96

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Solution

The fourth proportional to 1,843.28, 2,543.70 and 1,003.96 is: 1,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.28 : 2,543.70 = 1,003.96 : x
  2. Step 2: Convert to fraction form
    1,843.28/2,543.70 = 1,003.96/x
  3. Step 3: Cross multiply
    1,843.28x = 2,543.70 × 1,003.96
  4. Step 4: Simplify right side
    1,843.28x = 2,553,773.05
  5. Step 5: Solve for x
    x = 2,553,773.05/1,843.28
  6. Step 6: Final answer
    x = 1,385.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.