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Finding the Fourth Proportional to 2,617.48, 3,926.79 and 862.41

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Solution

The fourth proportional to 2,617.48, 3,926.79 and 862.41 is: 1,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.48 : 3,926.79 = 862.41 : x
  2. Step 2: Convert to fraction form
    2,617.48/3,926.79 = 862.41/x
  3. Step 3: Cross multiply
    2,617.48x = 3,926.79 × 862.41
  4. Step 4: Simplify right side
    2,617.48x = 3,386,499.25
  5. Step 5: Solve for x
    x = 3,386,499.25/2,617.48
  6. Step 6: Final answer
    x = 1,293.80

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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.