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Finding the Fourth Proportional to 2,614.16, 3,918.72 and 881.84

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Solution

The fourth proportional to 2,614.16, 3,918.72 and 881.84 is: 1,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.16 : 3,918.72 = 881.84 : x
  2. Step 2: Convert to fraction form
    2,614.16/3,918.72 = 881.84/x
  3. Step 3: Cross multiply
    2,614.16x = 3,918.72 × 881.84
  4. Step 4: Simplify right side
    2,614.16x = 3,455,684.04
  5. Step 5: Solve for x
    x = 3,455,684.04/2,614.16
  6. Step 6: Final answer
    x = 1,321.91

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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.