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Finding the Fourth Proportional to 2,228.74, 3,342.06 and 668.14

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Solution

The fourth proportional to 2,228.74, 3,342.06 and 668.14 is: 1,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.74 : 3,342.06 = 668.14 : x
  2. Step 2: Convert to fraction form
    2,228.74/3,342.06 = 668.14/x
  3. Step 3: Cross multiply
    2,228.74x = 3,342.06 × 668.14
  4. Step 4: Simplify right side
    2,228.74x = 2,232,963.97
  5. Step 5: Solve for x
    x = 2,232,963.97/2,228.74
  6. Step 6: Final answer
    x = 1,001.90

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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.