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Finding the Fourth Proportional to 3,099.74, 4,278.76 and 2,052.14

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Solution

The fourth proportional to 3,099.74, 4,278.76 and 2,052.14 is: 2,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.74 : 4,278.76 = 2,052.14 : x
  2. Step 2: Convert to fraction form
    3,099.74/4,278.76 = 2,052.14/x
  3. Step 3: Cross multiply
    3,099.74x = 4,278.76 × 2,052.14
  4. Step 4: Simplify right side
    3,099.74x = 8,780,588.02
  5. Step 5: Solve for x
    x = 8,780,588.02/3,099.74
  6. Step 6: Final answer
    x = 2,832.69

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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.