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Finding the Fourth Proportional to 2,138.89, 3,202.95 and 1,356.52

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Solution

The fourth proportional to 2,138.89, 3,202.95 and 1,356.52 is: 2,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.89 : 3,202.95 = 1,356.52 : x
  2. Step 2: Convert to fraction form
    2,138.89/3,202.95 = 1,356.52/x
  3. Step 3: Cross multiply
    2,138.89x = 3,202.95 × 1,356.52
  4. Step 4: Simplify right side
    2,138.89x = 4,344,865.73
  5. Step 5: Solve for x
    x = 4,344,865.73/2,138.89
  6. Step 6: Final answer
    x = 2,031.36

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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.