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Finding the Fourth Proportional to 2,974.86, 4,475.07 and 2,482.74

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Solution

The fourth proportional to 2,974.86, 4,475.07 and 2,482.74 is: 3,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.86 : 4,475.07 = 2,482.74 : x
  2. Step 2: Convert to fraction form
    2,974.86/4,475.07 = 2,482.74/x
  3. Step 3: Cross multiply
    2,974.86x = 4,475.07 × 2,482.74
  4. Step 4: Simplify right side
    2,974.86x = 11,110,435.29
  5. Step 5: Solve for x
    x = 11,110,435.29/2,974.86
  6. Step 6: Final answer
    x = 3,734.78

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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.