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Finding the Fourth Proportional to 2,049.53, 3,074.27 and 510.53

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Solution

The fourth proportional to 2,049.53, 3,074.27 and 510.53 is: 765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.53 : 3,074.27 = 510.53 : x
  2. Step 2: Convert to fraction form
    2,049.53/3,074.27 = 510.53/x
  3. Step 3: Cross multiply
    2,049.53x = 3,074.27 × 510.53
  4. Step 4: Simplify right side
    2,049.53x = 1,569,512.20
  5. Step 5: Solve for x
    x = 1,569,512.20/2,049.53
  6. Step 6: Final answer
    x = 765.79

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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.