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Finding the Fourth Proportional to 2,266.38, 3,391.35 and 1,342.38

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Solution

The fourth proportional to 2,266.38, 3,391.35 and 1,342.38 is: 2,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.38 : 3,391.35 = 1,342.38 : x
  2. Step 2: Convert to fraction form
    2,266.38/3,391.35 = 1,342.38/x
  3. Step 3: Cross multiply
    2,266.38x = 3,391.35 × 1,342.38
  4. Step 4: Simplify right side
    2,266.38x = 4,552,480.41
  5. Step 5: Solve for x
    x = 4,552,480.41/2,266.38
  6. Step 6: Final answer
    x = 2,008.70

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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.