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Finding the Fourth Proportional to 2,754.90, 4,132.28 and 674.84

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Solution

The fourth proportional to 2,754.90, 4,132.28 and 674.84 is: 1,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.90 : 4,132.28 = 674.84 : x
  2. Step 2: Convert to fraction form
    2,754.90/4,132.28 = 674.84/x
  3. Step 3: Cross multiply
    2,754.90x = 4,132.28 × 674.84
  4. Step 4: Simplify right side
    2,754.90x = 2,788,639.85
  5. Step 5: Solve for x
    x = 2,788,639.85/2,754.90
  6. Step 6: Final answer
    x = 1,012.25

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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.