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Finding the Fourth Proportional to 2,312.26, 3,468.86 and 1,142.22

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Solution

The fourth proportional to 2,312.26, 3,468.86 and 1,142.22 is: 1,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.26 : 3,468.86 = 1,142.22 : x
  2. Step 2: Convert to fraction form
    2,312.26/3,468.86 = 1,142.22/x
  3. Step 3: Cross multiply
    2,312.26x = 3,468.86 × 1,142.22
  4. Step 4: Simplify right side
    2,312.26x = 3,962,201.27
  5. Step 5: Solve for x
    x = 3,962,201.27/2,312.26
  6. Step 6: Final answer
    x = 1,713.56

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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.