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Finding the Fourth Proportional to 2,458.48, 3,686.84 and 814.80

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Solution

The fourth proportional to 2,458.48, 3,686.84 and 814.80 is: 1,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.48 : 3,686.84 = 814.80 : x
  2. Step 2: Convert to fraction form
    2,458.48/3,686.84 = 814.80/x
  3. Step 3: Cross multiply
    2,458.48x = 3,686.84 × 814.80
  4. Step 4: Simplify right side
    2,458.48x = 3,004,037.23
  5. Step 5: Solve for x
    x = 3,004,037.23/2,458.48
  6. Step 6: Final answer
    x = 1,221.91

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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.