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Finding the Fourth Proportional to 2,228.31, 3,341.52 and 668.54

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Solution

The fourth proportional to 2,228.31, 3,341.52 and 668.54 is: 1,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.31 : 3,341.52 = 668.54 : x
  2. Step 2: Convert to fraction form
    2,228.31/3,341.52 = 668.54/x
  3. Step 3: Cross multiply
    2,228.31x = 3,341.52 × 668.54
  4. Step 4: Simplify right side
    2,228.31x = 2,233,923.07
  5. Step 5: Solve for x
    x = 2,233,923.07/2,228.31
  6. Step 6: Final answer
    x = 1,002.52

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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.