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Finding the Fourth Proportional to 2,228.81, 3,348.68 and 1,255.59

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Solution

The fourth proportional to 2,228.81, 3,348.68 and 1,255.59 is: 1,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.81 : 3,348.68 = 1,255.59 : x
  2. Step 2: Convert to fraction form
    2,228.81/3,348.68 = 1,255.59/x
  3. Step 3: Cross multiply
    2,228.81x = 3,348.68 × 1,255.59
  4. Step 4: Simplify right side
    2,228.81x = 4,204,562.84
  5. Step 5: Solve for x
    x = 4,204,562.84/2,228.81
  6. Step 6: Final answer
    x = 1,886.47

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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.