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Finding the Fourth Proportional to 2,242.26, 3,359.16 and 1,147.32

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Solution

The fourth proportional to 2,242.26, 3,359.16 and 1,147.32 is: 1,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.26 : 3,359.16 = 1,147.32 : x
  2. Step 2: Convert to fraction form
    2,242.26/3,359.16 = 1,147.32/x
  3. Step 3: Cross multiply
    2,242.26x = 3,359.16 × 1,147.32
  4. Step 4: Simplify right side
    2,242.26x = 3,854,031.45
  5. Step 5: Solve for x
    x = 3,854,031.45/2,242.26
  6. Step 6: Final answer
    x = 1,718.82

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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.