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Finding the Fourth Proportional to 2,086.64, 3,114.73 and 1,932.47

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Solution

The fourth proportional to 2,086.64, 3,114.73 and 1,932.47 is: 2,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.64 : 3,114.73 = 1,932.47 : x
  2. Step 2: Convert to fraction form
    2,086.64/3,114.73 = 1,932.47/x
  3. Step 3: Cross multiply
    2,086.64x = 3,114.73 × 1,932.47
  4. Step 4: Simplify right side
    2,086.64x = 6,019,101.88
  5. Step 5: Solve for x
    x = 6,019,101.88/2,086.64
  6. Step 6: Final answer
    x = 2,884.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.