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Finding the Fourth Proportional to 2,074.98, 3,112.16 and 689.28

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Solution

The fourth proportional to 2,074.98, 3,112.16 and 689.28 is: 1,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.98 : 3,112.16 = 689.28 : x
  2. Step 2: Convert to fraction form
    2,074.98/3,112.16 = 689.28/x
  3. Step 3: Cross multiply
    2,074.98x = 3,112.16 × 689.28
  4. Step 4: Simplify right side
    2,074.98x = 2,145,149.64
  5. Step 5: Solve for x
    x = 2,145,149.64/2,074.98
  6. Step 6: Final answer
    x = 1,033.82

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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.