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Finding the Fourth Proportional to 2,698.77, 4,048.16 and 750.97

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Solution

The fourth proportional to 2,698.77, 4,048.16 and 750.97 is: 1,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.77 : 4,048.16 = 750.97 : x
  2. Step 2: Convert to fraction form
    2,698.77/4,048.16 = 750.97/x
  3. Step 3: Cross multiply
    2,698.77x = 4,048.16 × 750.97
  4. Step 4: Simplify right side
    2,698.77x = 3,040,046.72
  5. Step 5: Solve for x
    x = 3,040,046.72/2,698.77
  6. Step 6: Final answer
    x = 1,126.46

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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.