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Finding the Fourth Proportional to 2,363.69, 3,545.32 and 804.57

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Solution

The fourth proportional to 2,363.69, 3,545.32 and 804.57 is: 1,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.69 : 3,545.32 = 804.57 : x
  2. Step 2: Convert to fraction form
    2,363.69/3,545.32 = 804.57/x
  3. Step 3: Cross multiply
    2,363.69x = 3,545.32 × 804.57
  4. Step 4: Simplify right side
    2,363.69x = 2,852,458.11
  5. Step 5: Solve for x
    x = 2,852,458.11/2,363.69
  6. Step 6: Final answer
    x = 1,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.