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Finding the Fourth Proportional to 2,486.59, 3,728.67 and 1,446.95

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Solution

The fourth proportional to 2,486.59, 3,728.67 and 1,446.95 is: 2,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.59 : 3,728.67 = 1,446.95 : x
  2. Step 2: Convert to fraction form
    2,486.59/3,728.67 = 1,446.95/x
  3. Step 3: Cross multiply
    2,486.59x = 3,728.67 × 1,446.95
  4. Step 4: Simplify right side
    2,486.59x = 5,395,202.95
  5. Step 5: Solve for x
    x = 5,395,202.95/2,486.59
  6. Step 6: Final answer
    x = 2,169.72

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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.