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Finding the Fourth Proportional to 2,376.54, 3,540.92 and 2,227.50

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Solution

The fourth proportional to 2,376.54, 3,540.92 and 2,227.50 is: 3,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.54 : 3,540.92 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    2,376.54/3,540.92 = 2,227.50/x
  3. Step 3: Cross multiply
    2,376.54x = 3,540.92 × 2,227.50
  4. Step 4: Simplify right side
    2,376.54x = 7,887,388.16
  5. Step 5: Solve for x
    x = 7,887,388.16/2,376.54
  6. Step 6: Final answer
    x = 3,318.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.