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Finding the Fourth Proportional to 2,692.70, 4,043.10 and 2,077.10

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Solution

The fourth proportional to 2,692.70, 4,043.10 and 2,077.10 is: 3,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.70 : 4,043.10 = 2,077.10 : x
  2. Step 2: Convert to fraction form
    2,692.70/4,043.10 = 2,077.10/x
  3. Step 3: Cross multiply
    2,692.70x = 4,043.10 × 2,077.10
  4. Step 4: Simplify right side
    2,692.70x = 8,397,923.01
  5. Step 5: Solve for x
    x = 8,397,923.01/2,692.70
  6. Step 6: Final answer
    x = 3,118.77

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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.