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Finding the Fourth Proportional to 2,138.52, 3,205.02 and 1,040.76

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Solution

The fourth proportional to 2,138.52, 3,205.02 and 1,040.76 is: 1,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.52 : 3,205.02 = 1,040.76 : x
  2. Step 2: Convert to fraction form
    2,138.52/3,205.02 = 1,040.76/x
  3. Step 3: Cross multiply
    2,138.52x = 3,205.02 × 1,040.76
  4. Step 4: Simplify right side
    2,138.52x = 3,335,656.62
  5. Step 5: Solve for x
    x = 3,335,656.62/2,138.52
  6. Step 6: Final answer
    x = 1,559.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.