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Finding the Fourth Proportional to 2,441.31, 3,658.01 and 1,562.28

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Solution

The fourth proportional to 2,441.31, 3,658.01 and 1,562.28 is: 2,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.31 : 3,658.01 = 1,562.28 : x
  2. Step 2: Convert to fraction form
    2,441.31/3,658.01 = 1,562.28/x
  3. Step 3: Cross multiply
    2,441.31x = 3,658.01 × 1,562.28
  4. Step 4: Simplify right side
    2,441.31x = 5,714,828.05
  5. Step 5: Solve for x
    x = 5,714,828.05/2,441.31
  6. Step 6: Final answer
    x = 2,340.89

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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.