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Finding the Fourth Proportional to 2,427.33, 3,641.01 and 966.48

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Solution

The fourth proportional to 2,427.33, 3,641.01 and 966.48 is: 1,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.33 : 3,641.01 = 966.48 : x
  2. Step 2: Convert to fraction form
    2,427.33/3,641.01 = 966.48/x
  3. Step 3: Cross multiply
    2,427.33x = 3,641.01 × 966.48
  4. Step 4: Simplify right side
    2,427.33x = 3,518,963.34
  5. Step 5: Solve for x
    x = 3,518,963.34/2,427.33
  6. Step 6: Final answer
    x = 1,449.73

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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.