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Finding the Fourth Proportional to 2,648.27, 3,972.24 and 893.20

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Solution

The fourth proportional to 2,648.27, 3,972.24 and 893.20 is: 1,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.27 : 3,972.24 = 893.20 : x
  2. Step 2: Convert to fraction form
    2,648.27/3,972.24 = 893.20/x
  3. Step 3: Cross multiply
    2,648.27x = 3,972.24 × 893.20
  4. Step 4: Simplify right side
    2,648.27x = 3,548,004.77
  5. Step 5: Solve for x
    x = 3,548,004.77/2,648.27
  6. Step 6: Final answer
    x = 1,339.74

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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.