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Finding the Fourth Proportional to 2,692.59, 4,034.61 and 2,077.80

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Solution

The fourth proportional to 2,692.59, 4,034.61 and 2,077.80 is: 3,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.59 : 4,034.61 = 2,077.80 : x
  2. Step 2: Convert to fraction form
    2,692.59/4,034.61 = 2,077.80/x
  3. Step 3: Cross multiply
    2,692.59x = 4,034.61 × 2,077.80
  4. Step 4: Simplify right side
    2,692.59x = 8,383,112.66
  5. Step 5: Solve for x
    x = 8,383,112.66/2,692.59
  6. Step 6: Final answer
    x = 3,113.40

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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.