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Finding the Fourth Proportional to 2,363.69, 3,545.55 and 1,131.23

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Solution

The fourth proportional to 2,363.69, 3,545.55 and 1,131.23 is: 1,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.69 : 3,545.55 = 1,131.23 : x
  2. Step 2: Convert to fraction form
    2,363.69/3,545.55 = 1,131.23/x
  3. Step 3: Cross multiply
    2,363.69x = 3,545.55 × 1,131.23
  4. Step 4: Simplify right side
    2,363.69x = 4,010,832.53
  5. Step 5: Solve for x
    x = 4,010,832.53/2,363.69
  6. Step 6: Final answer
    x = 1,696.85

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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.