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Finding the Fourth Proportional to 2,642.43, 3,967.65 and 2,099.03

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Solution

The fourth proportional to 2,642.43, 3,967.65 and 2,099.03 is: 3,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.43 : 3,967.65 = 2,099.03 : x
  2. Step 2: Convert to fraction form
    2,642.43/3,967.65 = 2,099.03/x
  3. Step 3: Cross multiply
    2,642.43x = 3,967.65 × 2,099.03
  4. Step 4: Simplify right side
    2,642.43x = 8,328,196.54
  5. Step 5: Solve for x
    x = 8,328,196.54/2,642.43
  6. Step 6: Final answer
    x = 3,151.72

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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.