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Finding the Fourth Proportional to 2,829.44, 3,903.72 and 2,304.56

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Solution

The fourth proportional to 2,829.44, 3,903.72 and 2,304.56 is: 3,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.44 : 3,903.72 = 2,304.56 : x
  2. Step 2: Convert to fraction form
    2,829.44/3,903.72 = 2,304.56/x
  3. Step 3: Cross multiply
    2,829.44x = 3,903.72 × 2,304.56
  4. Step 4: Simplify right side
    2,829.44x = 8,996,356.96
  5. Step 5: Solve for x
    x = 8,996,356.96/2,829.44
  6. Step 6: Final answer
    x = 3,179.55

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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.