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Finding the Fourth Proportional to 2,012.95, 2,778.81 and 1,350.27

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Solution

The fourth proportional to 2,012.95, 2,778.81 and 1,350.27 is: 1,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.95 : 2,778.81 = 1,350.27 : x
  2. Step 2: Convert to fraction form
    2,012.95/2,778.81 = 1,350.27/x
  3. Step 3: Cross multiply
    2,012.95x = 2,778.81 × 1,350.27
  4. Step 4: Simplify right side
    2,012.95x = 3,752,138.72
  5. Step 5: Solve for x
    x = 3,752,138.72/2,012.95
  6. Step 6: Final answer
    x = 1,864.00

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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.