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Finding the Fourth Proportional to 2,151.32, 3,224.29 and 917.29

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Solution

The fourth proportional to 2,151.32, 3,224.29 and 917.29 is: 1,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.32 : 3,224.29 = 917.29 : x
  2. Step 2: Convert to fraction form
    2,151.32/3,224.29 = 917.29/x
  3. Step 3: Cross multiply
    2,151.32x = 3,224.29 × 917.29
  4. Step 4: Simplify right side
    2,151.32x = 2,957,596.89
  5. Step 5: Solve for x
    x = 2,957,596.89/2,151.32
  6. Step 6: Final answer
    x = 1,374.78

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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.