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Finding the Fourth Proportional to 2,761.95, 4,138.20 and 1,298.10

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Solution

The fourth proportional to 2,761.95, 4,138.20 and 1,298.10 is: 1,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.95 : 4,138.20 = 1,298.10 : x
  2. Step 2: Convert to fraction form
    2,761.95/4,138.20 = 1,298.10/x
  3. Step 3: Cross multiply
    2,761.95x = 4,138.20 × 1,298.10
  4. Step 4: Simplify right side
    2,761.95x = 5,371,797.42
  5. Step 5: Solve for x
    x = 5,371,797.42/2,761.95
  6. Step 6: Final answer
    x = 1,944.93

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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.