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Finding the Fourth Proportional to 2,812.80, 4,221.90 and 2,402.40

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Solution

The fourth proportional to 2,812.80, 4,221.90 and 2,402.40 is: 3,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.80 : 4,221.90 = 2,402.40 : x
  2. Step 2: Convert to fraction form
    2,812.80/4,221.90 = 2,402.40/x
  3. Step 3: Cross multiply
    2,812.80x = 4,221.90 × 2,402.40
  4. Step 4: Simplify right side
    2,812.80x = 10,142,692.56
  5. Step 5: Solve for x
    x = 10,142,692.56/2,812.80
  6. Step 6: Final answer
    x = 3,605.91

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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.