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Finding the Fourth Proportional to 2,138.74, 3,207.49 and 1,357.56

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Solution

The fourth proportional to 2,138.74, 3,207.49 and 1,357.56 is: 2,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.74 : 3,207.49 = 1,357.56 : x
  2. Step 2: Convert to fraction form
    2,138.74/3,207.49 = 1,357.56/x
  3. Step 3: Cross multiply
    2,138.74x = 3,207.49 × 1,357.56
  4. Step 4: Simplify right side
    2,138.74x = 4,354,360.12
  5. Step 5: Solve for x
    x = 4,354,360.12/2,138.74
  6. Step 6: Final answer
    x = 2,035.95

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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.