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Finding the Fourth Proportional to 2,293.56, 3,440.52 and 1,138.68

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Solution

The fourth proportional to 2,293.56, 3,440.52 and 1,138.68 is: 1,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.56 : 3,440.52 = 1,138.68 : x
  2. Step 2: Convert to fraction form
    2,293.56/3,440.52 = 1,138.68/x
  3. Step 3: Cross multiply
    2,293.56x = 3,440.52 × 1,138.68
  4. Step 4: Simplify right side
    2,293.56x = 3,917,651.31
  5. Step 5: Solve for x
    x = 3,917,651.31/2,293.56
  6. Step 6: Final answer
    x = 1,708.11

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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.