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Finding the Fourth Proportional to 2,086.60, 3,129.90 and 1,851.70

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Solution

The fourth proportional to 2,086.60, 3,129.90 and 1,851.70 is: 2,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.60 : 3,129.90 = 1,851.70 : x
  2. Step 2: Convert to fraction form
    2,086.60/3,129.90 = 1,851.70/x
  3. Step 3: Cross multiply
    2,086.60x = 3,129.90 × 1,851.70
  4. Step 4: Simplify right side
    2,086.60x = 5,795,635.83
  5. Step 5: Solve for x
    x = 5,795,635.83/2,086.60
  6. Step 6: Final answer
    x = 2,777.55

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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.