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Finding the Fourth Proportional to 2,228.15, 3,342.25 and 842.13

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Solution

The fourth proportional to 2,228.15, 3,342.25 and 842.13 is: 1,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.15 : 3,342.25 = 842.13 : x
  2. Step 2: Convert to fraction form
    2,228.15/3,342.25 = 842.13/x
  3. Step 3: Cross multiply
    2,228.15x = 3,342.25 × 842.13
  4. Step 4: Simplify right side
    2,228.15x = 2,814,622.58
  5. Step 5: Solve for x
    x = 2,814,622.58/2,228.15
  6. Step 6: Final answer
    x = 1,263.21

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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.