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Finding the Fourth Proportional to 2,838.28, 4,257.52 and 2,348.52

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Solution

The fourth proportional to 2,838.28, 4,257.52 and 2,348.52 is: 3,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.28 : 4,257.52 = 2,348.52 : x
  2. Step 2: Convert to fraction form
    2,838.28/4,257.52 = 2,348.52/x
  3. Step 3: Cross multiply
    2,838.28x = 4,257.52 × 2,348.52
  4. Step 4: Simplify right side
    2,838.28x = 9,998,870.87
  5. Step 5: Solve for x
    x = 9,998,870.87/2,838.28
  6. Step 6: Final answer
    x = 3,522.86

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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.