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Finding the Fourth Proportional to 3,077.97, 4,616.95 and 886.70

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Solution

The fourth proportional to 3,077.97, 4,616.95 and 886.70 is: 1,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.97 : 4,616.95 = 886.70 : x
  2. Step 2: Convert to fraction form
    3,077.97/4,616.95 = 886.70/x
  3. Step 3: Cross multiply
    3,077.97x = 4,616.95 × 886.70
  4. Step 4: Simplify right side
    3,077.97x = 4,093,849.57
  5. Step 5: Solve for x
    x = 4,093,849.57/3,077.97
  6. Step 6: Final answer
    x = 1,330.05

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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.