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Finding the Fourth Proportional to 2,518.70, 3,471.76 and 1,986.73

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Solution

The fourth proportional to 2,518.70, 3,471.76 and 1,986.73 is: 2,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.70 : 3,471.76 = 1,986.73 : x
  2. Step 2: Convert to fraction form
    2,518.70/3,471.76 = 1,986.73/x
  3. Step 3: Cross multiply
    2,518.70x = 3,471.76 × 1,986.73
  4. Step 4: Simplify right side
    2,518.70x = 6,897,443.55
  5. Step 5: Solve for x
    x = 6,897,443.55/2,518.70
  6. Step 6: Final answer
    x = 2,738.50

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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.