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Finding the Fourth Proportional to 2,441.29, 3,662.16 and 881.74

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Solution

The fourth proportional to 2,441.29, 3,662.16 and 881.74 is: 1,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.29 : 3,662.16 = 881.74 : x
  2. Step 2: Convert to fraction form
    2,441.29/3,662.16 = 881.74/x
  3. Step 3: Cross multiply
    2,441.29x = 3,662.16 × 881.74
  4. Step 4: Simplify right side
    2,441.29x = 3,229,058.59
  5. Step 5: Solve for x
    x = 3,229,058.59/2,441.29
  6. Step 6: Final answer
    x = 1,322.69

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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.