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Finding the Fourth Proportional to 2,260.95, 3,122.27 and 2,138.23

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Solution

The fourth proportional to 2,260.95, 3,122.27 and 2,138.23 is: 2,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.95 : 3,122.27 = 2,138.23 : x
  2. Step 2: Convert to fraction form
    2,260.95/3,122.27 = 2,138.23/x
  3. Step 3: Cross multiply
    2,260.95x = 3,122.27 × 2,138.23
  4. Step 4: Simplify right side
    2,260.95x = 6,676,131.38
  5. Step 5: Solve for x
    x = 6,676,131.38/2,260.95
  6. Step 6: Final answer
    x = 2,952.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.