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Finding the Fourth Proportional to 2,363.80, 3,545.88 and 1,131.76

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Solution

The fourth proportional to 2,363.80, 3,545.88 and 1,131.76 is: 1,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.80 : 3,545.88 = 1,131.76 : x
  2. Step 2: Convert to fraction form
    2,363.80/3,545.88 = 1,131.76/x
  3. Step 3: Cross multiply
    2,363.80x = 3,545.88 × 1,131.76
  4. Step 4: Simplify right side
    2,363.80x = 4,013,085.15
  5. Step 5: Solve for x
    x = 4,013,085.15/2,363.80
  6. Step 6: Final answer
    x = 1,697.73

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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.