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Finding the Fourth Proportional to 2,076.75, 3,116.40 and 844.17

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Solution

The fourth proportional to 2,076.75, 3,116.40 and 844.17 is: 1,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.75 : 3,116.40 = 844.17 : x
  2. Step 2: Convert to fraction form
    2,076.75/3,116.40 = 844.17/x
  3. Step 3: Cross multiply
    2,076.75x = 3,116.40 × 844.17
  4. Step 4: Simplify right side
    2,076.75x = 2,630,771.39
  5. Step 5: Solve for x
    x = 2,630,771.39/2,076.75
  6. Step 6: Final answer
    x = 1,266.77

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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.