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Finding the Fourth Proportional to 2,232.85, 3,348.82 and 845.71

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Solution

The fourth proportional to 2,232.85, 3,348.82 and 845.71 is: 1,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.85 : 3,348.82 = 845.71 : x
  2. Step 2: Convert to fraction form
    2,232.85/3,348.82 = 845.71/x
  3. Step 3: Cross multiply
    2,232.85x = 3,348.82 × 845.71
  4. Step 4: Simplify right side
    2,232.85x = 2,832,130.56
  5. Step 5: Solve for x
    x = 2,832,130.56/2,232.85
  6. Step 6: Final answer
    x = 1,268.39

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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.