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Finding the Fourth Proportional to 2,698.47, 4,048.25 and 968.31

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Solution

The fourth proportional to 2,698.47, 4,048.25 and 968.31 is: 1,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.47 : 4,048.25 = 968.31 : x
  2. Step 2: Convert to fraction form
    2,698.47/4,048.25 = 968.31/x
  3. Step 3: Cross multiply
    2,698.47x = 4,048.25 × 968.31
  4. Step 4: Simplify right side
    2,698.47x = 3,919,956.12
  5. Step 5: Solve for x
    x = 3,919,956.12/2,698.47
  6. Step 6: Final answer
    x = 1,452.66

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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.