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Finding the Fourth Proportional to 2,077.09, 3,115.56 and 844.17

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Solution

The fourth proportional to 2,077.09, 3,115.56 and 844.17 is: 1,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.09 : 3,115.56 = 844.17 : x
  2. Step 2: Convert to fraction form
    2,077.09/3,115.56 = 844.17/x
  3. Step 3: Cross multiply
    2,077.09x = 3,115.56 × 844.17
  4. Step 4: Simplify right side
    2,077.09x = 2,630,071.29
  5. Step 5: Solve for x
    x = 2,630,071.29/2,077.09
  6. Step 6: Final answer
    x = 1,266.23

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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.