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Finding the Fourth Proportional to 3,199.48, 4,415.34 and 2,149.72

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Solution

The fourth proportional to 3,199.48, 4,415.34 and 2,149.72 is: 2,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.48 : 4,415.34 = 2,149.72 : x
  2. Step 2: Convert to fraction form
    3,199.48/4,415.34 = 2,149.72/x
  3. Step 3: Cross multiply
    3,199.48x = 4,415.34 × 2,149.72
  4. Step 4: Simplify right side
    3,199.48x = 9,491,744.70
  5. Step 5: Solve for x
    x = 9,491,744.70/3,199.48
  6. Step 6: Final answer
    x = 2,966.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.