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Finding the Fourth Proportional to 3,077.70, 4,616.55 and 2,105.70

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Solution

The fourth proportional to 3,077.70, 4,616.55 and 2,105.70 is: 3,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.70 : 4,616.55 = 2,105.70 : x
  2. Step 2: Convert to fraction form
    3,077.70/4,616.55 = 2,105.70/x
  3. Step 3: Cross multiply
    3,077.70x = 4,616.55 × 2,105.70
  4. Step 4: Simplify right side
    3,077.70x = 9,721,069.34
  5. Step 5: Solve for x
    x = 9,721,069.34/3,077.70
  6. Step 6: Final answer
    x = 3,158.55

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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.