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Finding the Fourth Proportional to 2,228.11, 3,342.17 and 912.58

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Solution

The fourth proportional to 2,228.11, 3,342.17 and 912.58 is: 1,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.11 : 3,342.17 = 912.58 : x
  2. Step 2: Convert to fraction form
    2,228.11/3,342.17 = 912.58/x
  3. Step 3: Cross multiply
    2,228.11x = 3,342.17 × 912.58
  4. Step 4: Simplify right side
    2,228.11x = 3,050,001.37
  5. Step 5: Solve for x
    x = 3,050,001.37/2,228.11
  6. Step 6: Final answer
    x = 1,368.87

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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.