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Finding the Fourth Proportional to 2,824.84, 3,896.50 and 1,763.20

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Solution

The fourth proportional to 2,824.84, 3,896.50 and 1,763.20 is: 2,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.84 : 3,896.50 = 1,763.20 : x
  2. Step 2: Convert to fraction form
    2,824.84/3,896.50 = 1,763.20/x
  3. Step 3: Cross multiply
    2,824.84x = 3,896.50 × 1,763.20
  4. Step 4: Simplify right side
    2,824.84x = 6,870,308.80
  5. Step 5: Solve for x
    x = 6,870,308.80/2,824.84
  6. Step 6: Final answer
    x = 2,432.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.