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Finding the Fourth Proportional to 2,482.29, 3,738.29 and 2,260.86

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Solution

The fourth proportional to 2,482.29, 3,738.29 and 2,260.86 is: 3,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.29 : 3,738.29 = 2,260.86 : x
  2. Step 2: Convert to fraction form
    2,482.29/3,738.29 = 2,260.86/x
  3. Step 3: Cross multiply
    2,482.29x = 3,738.29 × 2,260.86
  4. Step 4: Simplify right side
    2,482.29x = 8,451,750.33
  5. Step 5: Solve for x
    x = 8,451,750.33/2,482.29
  6. Step 6: Final answer
    x = 3,404.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.