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Finding the Fourth Proportional to 2,232.15, 3,348.27 and 846.15

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Solution

The fourth proportional to 2,232.15, 3,348.27 and 846.15 is: 1,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.15 : 3,348.27 = 846.15 : x
  2. Step 2: Convert to fraction form
    2,232.15/3,348.27 = 846.15/x
  3. Step 3: Cross multiply
    2,232.15x = 3,348.27 × 846.15
  4. Step 4: Simplify right side
    2,232.15x = 2,833,138.66
  5. Step 5: Solve for x
    x = 2,833,138.66/2,232.15
  6. Step 6: Final answer
    x = 1,269.24

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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.