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Finding the Fourth Proportional to 2,304.90, 3,179.02 and 1,464.88

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Solution

The fourth proportional to 2,304.90, 3,179.02 and 1,464.88 is: 2,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.90 : 3,179.02 = 1,464.88 : x
  2. Step 2: Convert to fraction form
    2,304.90/3,179.02 = 1,464.88/x
  3. Step 3: Cross multiply
    2,304.90x = 3,179.02 × 1,464.88
  4. Step 4: Simplify right side
    2,304.90x = 4,656,882.82
  5. Step 5: Solve for x
    x = 4,656,882.82/2,304.90
  6. Step 6: Final answer
    x = 2,020.43

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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.