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Finding the Fourth Proportional to 2,456.67, 3,686.24 and 1,532.01

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Solution

The fourth proportional to 2,456.67, 3,686.24 and 1,532.01 is: 2,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.67 : 3,686.24 = 1,532.01 : x
  2. Step 2: Convert to fraction form
    2,456.67/3,686.24 = 1,532.01/x
  3. Step 3: Cross multiply
    2,456.67x = 3,686.24 × 1,532.01
  4. Step 4: Simplify right side
    2,456.67x = 5,647,356.54
  5. Step 5: Solve for x
    x = 5,647,356.54/2,456.67
  6. Step 6: Final answer
    x = 2,298.79

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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.