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Finding the Fourth Proportional to 2,797.64, 3,852.24 and 2,424.66

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Solution

The fourth proportional to 2,797.64, 3,852.24 and 2,424.66 is: 3,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.64 : 3,852.24 = 2,424.66 : x
  2. Step 2: Convert to fraction form
    2,797.64/3,852.24 = 2,424.66/x
  3. Step 3: Cross multiply
    2,797.64x = 3,852.24 × 2,424.66
  4. Step 4: Simplify right side
    2,797.64x = 9,340,372.24
  5. Step 5: Solve for x
    x = 9,340,372.24/2,797.64
  6. Step 6: Final answer
    x = 3,338.66

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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.