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Finding the Fourth Proportional to 2,641.79, 3,962.04 and 886.85

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Solution

The fourth proportional to 2,641.79, 3,962.04 and 886.85 is: 1,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.79 : 3,962.04 = 886.85 : x
  2. Step 2: Convert to fraction form
    2,641.79/3,962.04 = 886.85/x
  3. Step 3: Cross multiply
    2,641.79x = 3,962.04 × 886.85
  4. Step 4: Simplify right side
    2,641.79x = 3,513,735.17
  5. Step 5: Solve for x
    x = 3,513,735.17/2,641.79
  6. Step 6: Final answer
    x = 1,330.06

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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.