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Finding the Fourth Proportional to 2,454.33, 3,680.94 and 699.29

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Solution

The fourth proportional to 2,454.33, 3,680.94 and 699.29 is: 1,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.33 : 3,680.94 = 699.29 : x
  2. Step 2: Convert to fraction form
    2,454.33/3,680.94 = 699.29/x
  3. Step 3: Cross multiply
    2,454.33x = 3,680.94 × 699.29
  4. Step 4: Simplify right side
    2,454.33x = 2,574,044.53
  5. Step 5: Solve for x
    x = 2,574,044.53/2,454.33
  6. Step 6: Final answer
    x = 1,048.78

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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.