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Finding the Fourth Proportional to 2,458.64, 3,687.96 and 814.75

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Solution

The fourth proportional to 2,458.64, 3,687.96 and 814.75 is: 1,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.64 : 3,687.96 = 814.75 : x
  2. Step 2: Convert to fraction form
    2,458.64/3,687.96 = 814.75/x
  3. Step 3: Cross multiply
    2,458.64x = 3,687.96 × 814.75
  4. Step 4: Simplify right side
    2,458.64x = 3,004,765.41
  5. Step 5: Solve for x
    x = 3,004,765.41/2,458.64
  6. Step 6: Final answer
    x = 1,222.13

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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.