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Finding the Fourth Proportional to 2,077.16, 3,116.17 and 844.57

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Solution

The fourth proportional to 2,077.16, 3,116.17 and 844.57 is: 1,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.16 : 3,116.17 = 844.57 : x
  2. Step 2: Convert to fraction form
    2,077.16/3,116.17 = 844.57/x
  3. Step 3: Cross multiply
    2,077.16x = 3,116.17 × 844.57
  4. Step 4: Simplify right side
    2,077.16x = 2,631,811.68
  5. Step 5: Solve for x
    x = 2,631,811.68/2,077.16
  6. Step 6: Final answer
    x = 1,267.02

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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.