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Finding the Fourth Proportional to 2,046.38, 3,069.80 and 1,342.90

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Solution

The fourth proportional to 2,046.38, 3,069.80 and 1,342.90 is: 2,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.38 : 3,069.80 = 1,342.90 : x
  2. Step 2: Convert to fraction form
    2,046.38/3,069.80 = 1,342.90/x
  3. Step 3: Cross multiply
    2,046.38x = 3,069.80 × 1,342.90
  4. Step 4: Simplify right side
    2,046.38x = 4,122,434.42
  5. Step 5: Solve for x
    x = 4,122,434.42/2,046.38
  6. Step 6: Final answer
    x = 2,014.50

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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.