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Finding the Fourth Proportional to 2,864.90, 4,294.78 and 1,304.08

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Solution

The fourth proportional to 2,864.90, 4,294.78 and 1,304.08 is: 1,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.90 : 4,294.78 = 1,304.08 : x
  2. Step 2: Convert to fraction form
    2,864.90/4,294.78 = 1,304.08/x
  3. Step 3: Cross multiply
    2,864.90x = 4,294.78 × 1,304.08
  4. Step 4: Simplify right side
    2,864.90x = 5,600,736.70
  5. Step 5: Solve for x
    x = 5,600,736.70/2,864.90
  6. Step 6: Final answer
    x = 1,954.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.