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Finding the Fourth Proportional to 2,228.17, 3,342.04 and 584.68

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Solution

The fourth proportional to 2,228.17, 3,342.04 and 584.68 is: 876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.17 : 3,342.04 = 584.68 : x
  2. Step 2: Convert to fraction form
    2,228.17/3,342.04 = 584.68/x
  3. Step 3: Cross multiply
    2,228.17x = 3,342.04 × 584.68
  4. Step 4: Simplify right side
    2,228.17x = 1,954,023.95
  5. Step 5: Solve for x
    x = 1,954,023.95/2,228.17
  6. Step 6: Final answer
    x = 876.96

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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.