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Finding the Fourth Proportional to 2,237.44, 3,357.78 and 1,084

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Solution

The fourth proportional to 2,237.44, 3,357.78 and 1,084 is: 1,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.44 : 3,357.78 = 1,084 : x
  2. Step 2: Convert to fraction form
    2,237.44/3,357.78 = 1,084/x
  3. Step 3: Cross multiply
    2,237.44x = 3,357.78 × 1,084
  4. Step 4: Simplify right side
    2,237.44x = 3,639,833.52
  5. Step 5: Solve for x
    x = 3,639,833.52/2,237.44
  6. Step 6: Final answer
    x = 1,626.78

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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.