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Finding the Fourth Proportional to 2,692.60, 4,034.10 and 2,308.60

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Solution

The fourth proportional to 2,692.60, 4,034.10 and 2,308.60 is: 3,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.60 : 4,034.10 = 2,308.60 : x
  2. Step 2: Convert to fraction form
    2,692.60/4,034.10 = 2,308.60/x
  3. Step 3: Cross multiply
    2,692.60x = 4,034.10 × 2,308.60
  4. Step 4: Simplify right side
    2,692.60x = 9,313,123.26
  5. Step 5: Solve for x
    x = 9,313,123.26/2,692.60
  6. Step 6: Final answer
    x = 3,458.78

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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.