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Finding the Fourth Proportional to 2,225.25, 3,337.47 and 838.71

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Solution

The fourth proportional to 2,225.25, 3,337.47 and 838.71 is: 1,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.25 : 3,337.47 = 838.71 : x
  2. Step 2: Convert to fraction form
    2,225.25/3,337.47 = 838.71/x
  3. Step 3: Cross multiply
    2,225.25x = 3,337.47 × 838.71
  4. Step 4: Simplify right side
    2,225.25x = 2,799,169.46
  5. Step 5: Solve for x
    x = 2,799,169.46/2,225.25
  6. Step 6: Final answer
    x = 1,257.91

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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.