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Finding the Fourth Proportional to 3,069.70, 4,235.81 and 2,077.14

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Solution

The fourth proportional to 3,069.70, 4,235.81 and 2,077.14 is: 2,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.70 : 4,235.81 = 2,077.14 : x
  2. Step 2: Convert to fraction form
    3,069.70/4,235.81 = 2,077.14/x
  3. Step 3: Cross multiply
    3,069.70x = 4,235.81 × 2,077.14
  4. Step 4: Simplify right side
    3,069.70x = 8,798,370.38
  5. Step 5: Solve for x
    x = 8,798,370.38/3,069.70
  6. Step 6: Final answer
    x = 2,866.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.