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Finding the Fourth Proportional to 2,077.15, 3,115.66 and 844.20

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Solution

The fourth proportional to 2,077.15, 3,115.66 and 844.20 is: 1,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.15 : 3,115.66 = 844.20 : x
  2. Step 2: Convert to fraction form
    2,077.15/3,115.66 = 844.20/x
  3. Step 3: Cross multiply
    2,077.15x = 3,115.66 × 844.20
  4. Step 4: Simplify right side
    2,077.15x = 2,630,240.17
  5. Step 5: Solve for x
    x = 2,630,240.17/2,077.15
  6. Step 6: Final answer
    x = 1,266.27

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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.