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Finding the Fourth Proportional to 2,366.82, 3,550.23 and 1,545.48

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Solution

The fourth proportional to 2,366.82, 3,550.23 and 1,545.48 is: 2,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.82 : 3,550.23 = 1,545.48 : x
  2. Step 2: Convert to fraction form
    2,366.82/3,550.23 = 1,545.48/x
  3. Step 3: Cross multiply
    2,366.82x = 3,550.23 × 1,545.48
  4. Step 4: Simplify right side
    2,366.82x = 5,486,809.46
  5. Step 5: Solve for x
    x = 5,486,809.46/2,366.82
  6. Step 6: Final answer
    x = 2,318.22

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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.