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Finding the Fourth Proportional to 2,763.68, 4,139.76 and 2,145.20

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Solution

The fourth proportional to 2,763.68, 4,139.76 and 2,145.20 is: 3,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.68 : 4,139.76 = 2,145.20 : x
  2. Step 2: Convert to fraction form
    2,763.68/4,139.76 = 2,145.20/x
  3. Step 3: Cross multiply
    2,763.68x = 4,139.76 × 2,145.20
  4. Step 4: Simplify right side
    2,763.68x = 8,880,613.15
  5. Step 5: Solve for x
    x = 8,880,613.15/2,763.68
  6. Step 6: Final answer
    x = 3,213.33

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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.