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Finding the Fourth Proportional to 3,189.95, 4,785.83 and 1,340.11

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Solution

The fourth proportional to 3,189.95, 4,785.83 and 1,340.11 is: 2,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.95 : 4,785.83 = 1,340.11 : x
  2. Step 2: Convert to fraction form
    3,189.95/4,785.83 = 1,340.11/x
  3. Step 3: Cross multiply
    3,189.95x = 4,785.83 × 1,340.11
  4. Step 4: Simplify right side
    3,189.95x = 6,413,542.95
  5. Step 5: Solve for x
    x = 6,413,542.95/3,189.95
  6. Step 6: Final answer
    x = 2,010.55

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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.