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Finding the Fourth Proportional to 2,698.85, 4,048.31 and 724.58

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Solution

The fourth proportional to 2,698.85, 4,048.31 and 724.58 is: 1,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.85 : 4,048.31 = 724.58 : x
  2. Step 2: Convert to fraction form
    2,698.85/4,048.31 = 724.58/x
  3. Step 3: Cross multiply
    2,698.85x = 4,048.31 × 724.58
  4. Step 4: Simplify right side
    2,698.85x = 2,933,300.60
  5. Step 5: Solve for x
    x = 2,933,300.60/2,698.85
  6. Step 6: Final answer
    x = 1,086.87

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Why These Related Problems?

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