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Finding the Fourth Proportional to 2,065.94, 3,100.20 and 1,287.47

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Solution

The fourth proportional to 2,065.94, 3,100.20 and 1,287.47 is: 1,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.94 : 3,100.20 = 1,287.47 : x
  2. Step 2: Convert to fraction form
    2,065.94/3,100.20 = 1,287.47/x
  3. Step 3: Cross multiply
    2,065.94x = 3,100.20 × 1,287.47
  4. Step 4: Simplify right side
    2,065.94x = 3,991,414.49
  5. Step 5: Solve for x
    x = 3,991,414.49/2,065.94
  6. Step 6: Final answer
    x = 1,932.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.