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Finding the Fourth Proportional to 3,114.39, 4,299.39 and 2,052.83

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Solution

The fourth proportional to 3,114.39, 4,299.39 and 2,052.83 is: 2,833.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.39 : 4,299.39 = 2,052.83 : x
  2. Step 2: Convert to fraction form
    3,114.39/4,299.39 = 2,052.83/x
  3. Step 3: Cross multiply
    3,114.39x = 4,299.39 × 2,052.83
  4. Step 4: Simplify right side
    3,114.39x = 8,825,916.77
  5. Step 5: Solve for x
    x = 8,825,916.77/3,114.39
  6. Step 6: Final answer
    x = 2,833.92

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Why These Related Problems?

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