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Finding the Fourth Proportional to 2,806.20, 4,210.62 and 1,882.20

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Solution

The fourth proportional to 2,806.20, 4,210.62 and 1,882.20 is: 2,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.20 : 4,210.62 = 1,882.20 : x
  2. Step 2: Convert to fraction form
    2,806.20/4,210.62 = 1,882.20/x
  3. Step 3: Cross multiply
    2,806.20x = 4,210.62 × 1,882.20
  4. Step 4: Simplify right side
    2,806.20x = 7,925,228.96
  5. Step 5: Solve for x
    x = 7,925,228.96/2,806.20
  6. Step 6: Final answer
    x = 2,824.19

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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.