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Finding the Fourth Proportional to 2,232.42, 3,348.17 and 845.27

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Solution

The fourth proportional to 2,232.42, 3,348.17 and 845.27 is: 1,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.42 : 3,348.17 = 845.27 : x
  2. Step 2: Convert to fraction form
    2,232.42/3,348.17 = 845.27/x
  3. Step 3: Cross multiply
    2,232.42x = 3,348.17 × 845.27
  4. Step 4: Simplify right side
    2,232.42x = 2,830,121.25
  5. Step 5: Solve for x
    x = 2,830,121.25/2,232.42
  6. Step 6: Final answer
    x = 1,267.74

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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.