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Finding the Fourth Proportional to 2,363.49, 3,545.24 and 803.43

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Solution

The fourth proportional to 2,363.49, 3,545.24 and 803.43 is: 1,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.49 : 3,545.24 = 803.43 : x
  2. Step 2: Convert to fraction form
    2,363.49/3,545.24 = 803.43/x
  3. Step 3: Cross multiply
    2,363.49x = 3,545.24 × 803.43
  4. Step 4: Simplify right side
    2,363.49x = 2,848,348.16
  5. Step 5: Solve for x
    x = 2,848,348.16/2,363.49
  6. Step 6: Final answer
    x = 1,205.15

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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.