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Finding the Fourth Proportional to 2,806.68, 4,211.10 and 2,082.36

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Solution

The fourth proportional to 2,806.68, 4,211.10 and 2,082.36 is: 3,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.68 : 4,211.10 = 2,082.36 : x
  2. Step 2: Convert to fraction form
    2,806.68/4,211.10 = 2,082.36/x
  3. Step 3: Cross multiply
    2,806.68x = 4,211.10 × 2,082.36
  4. Step 4: Simplify right side
    2,806.68x = 8,769,026.20
  5. Step 5: Solve for x
    x = 8,769,026.20/2,806.68
  6. Step 6: Final answer
    x = 3,124.34

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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.