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Finding the Fourth Proportional to 2,617.75, 3,926.67 and 886.42

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Solution

The fourth proportional to 2,617.75, 3,926.67 and 886.42 is: 1,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.75 : 3,926.67 = 886.42 : x
  2. Step 2: Convert to fraction form
    2,617.75/3,926.67 = 886.42/x
  3. Step 3: Cross multiply
    2,617.75x = 3,926.67 × 886.42
  4. Step 4: Simplify right side
    2,617.75x = 3,480,678.82
  5. Step 5: Solve for x
    x = 3,480,678.82/2,617.75
  6. Step 6: Final answer
    x = 1,329.65

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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.