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Finding the Fourth Proportional to 2,648.57, 3,972.22 and 1,005.89

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Solution

The fourth proportional to 2,648.57, 3,972.22 and 1,005.89 is: 1,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.57 : 3,972.22 = 1,005.89 : x
  2. Step 2: Convert to fraction form
    2,648.57/3,972.22 = 1,005.89/x
  3. Step 3: Cross multiply
    2,648.57x = 3,972.22 × 1,005.89
  4. Step 4: Simplify right side
    2,648.57x = 3,995,594.00
  5. Step 5: Solve for x
    x = 3,995,594.00/2,648.57
  6. Step 6: Final answer
    x = 1,508.59

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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.