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Finding the Fourth Proportional to 2,457.86, 3,687 and 814.36

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Solution

The fourth proportional to 2,457.86, 3,687 and 814.36 is: 1,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.86 : 3,687 = 814.36 : x
  2. Step 2: Convert to fraction form
    2,457.86/3,687 = 814.36/x
  3. Step 3: Cross multiply
    2,457.86x = 3,687 × 814.36
  4. Step 4: Simplify right side
    2,457.86x = 3,002,545.32
  5. Step 5: Solve for x
    x = 3,002,545.32/2,457.86
  6. Step 6: Final answer
    x = 1,221.61

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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.