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Finding the Fourth Proportional to 2,071.18, 3,107.78 and 839.47

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Solution

The fourth proportional to 2,071.18, 3,107.78 and 839.47 is: 1,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.18 : 3,107.78 = 839.47 : x
  2. Step 2: Convert to fraction form
    2,071.18/3,107.78 = 839.47/x
  3. Step 3: Cross multiply
    2,071.18x = 3,107.78 × 839.47
  4. Step 4: Simplify right side
    2,071.18x = 2,608,888.08
  5. Step 5: Solve for x
    x = 2,608,888.08/2,071.18
  6. Step 6: Final answer
    x = 1,259.61

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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.