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Finding the Fourth Proportional to 2,078.46, 2,862.44 and 2,033.10

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Solution

The fourth proportional to 2,078.46, 2,862.44 and 2,033.10 is: 2,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.46 : 2,862.44 = 2,033.10 : x
  2. Step 2: Convert to fraction form
    2,078.46/2,862.44 = 2,033.10/x
  3. Step 3: Cross multiply
    2,078.46x = 2,862.44 × 2,033.10
  4. Step 4: Simplify right side
    2,078.46x = 5,819,626.76
  5. Step 5: Solve for x
    x = 5,819,626.76/2,078.46
  6. Step 6: Final answer
    x = 2,799.97

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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.