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Finding the Fourth Proportional to 2,458.08, 3,686.31 and 814.14

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Solution

The fourth proportional to 2,458.08, 3,686.31 and 814.14 is: 1,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.08 : 3,686.31 = 814.14 : x
  2. Step 2: Convert to fraction form
    2,458.08/3,686.31 = 814.14/x
  3. Step 3: Cross multiply
    2,458.08x = 3,686.31 × 814.14
  4. Step 4: Simplify right side
    2,458.08x = 3,001,172.42
  5. Step 5: Solve for x
    x = 3,001,172.42/2,458.08
  6. Step 6: Final answer
    x = 1,220.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.