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Finding the Fourth Proportional to 2,648.56, 3,972.72 and 917.32

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Solution

The fourth proportional to 2,648.56, 3,972.72 and 917.32 is: 1,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.56 : 3,972.72 = 917.32 : x
  2. Step 2: Convert to fraction form
    2,648.56/3,972.72 = 917.32/x
  3. Step 3: Cross multiply
    2,648.56x = 3,972.72 × 917.32
  4. Step 4: Simplify right side
    2,648.56x = 3,644,255.51
  5. Step 5: Solve for x
    x = 3,644,255.51/2,648.56
  6. Step 6: Final answer
    x = 1,375.94

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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.