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Finding the Fourth Proportional to 2,824.80, 4,216.64 and 2,698.56

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Solution

The fourth proportional to 2,824.80, 4,216.64 and 2,698.56 is: 4,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.80 : 4,216.64 = 2,698.56 : x
  2. Step 2: Convert to fraction form
    2,824.80/4,216.64 = 2,698.56/x
  3. Step 3: Cross multiply
    2,824.80x = 4,216.64 × 2,698.56
  4. Step 4: Simplify right side
    2,824.80x = 11,378,856.04
  5. Step 5: Solve for x
    x = 11,378,856.04/2,824.80
  6. Step 6: Final answer
    x = 4,028.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.