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Finding the Fourth Proportional to 2,545.86, 3,820.14 and 1,231.23

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Solution

The fourth proportional to 2,545.86, 3,820.14 and 1,231.23 is: 1,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.86 : 3,820.14 = 1,231.23 : x
  2. Step 2: Convert to fraction form
    2,545.86/3,820.14 = 1,231.23/x
  3. Step 3: Cross multiply
    2,545.86x = 3,820.14 × 1,231.23
  4. Step 4: Simplify right side
    2,545.86x = 4,703,470.97
  5. Step 5: Solve for x
    x = 4,703,470.97/2,545.86
  6. Step 6: Final answer
    x = 1,847.50

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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.