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Finding the Fourth Proportional to 2,874.87, 4,314.02 and 2,692.65

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Solution

The fourth proportional to 2,874.87, 4,314.02 and 2,692.65 is: 4,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.87 : 4,314.02 = 2,692.65 : x
  2. Step 2: Convert to fraction form
    2,874.87/4,314.02 = 2,692.65/x
  3. Step 3: Cross multiply
    2,874.87x = 4,314.02 × 2,692.65
  4. Step 4: Simplify right side
    2,874.87x = 11,616,132.49
  5. Step 5: Solve for x
    x = 11,616,132.49/2,874.87
  6. Step 6: Final answer
    x = 4,040.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.