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Finding the Fourth Proportional to 3,275.78, 4,913.57 and 810.54

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Solution

The fourth proportional to 3,275.78, 4,913.57 and 810.54 is: 1,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.78 : 4,913.57 = 810.54 : x
  2. Step 2: Convert to fraction form
    3,275.78/4,913.57 = 810.54/x
  3. Step 3: Cross multiply
    3,275.78x = 4,913.57 × 810.54
  4. Step 4: Simplify right side
    3,275.78x = 3,982,640.98
  5. Step 5: Solve for x
    x = 3,982,640.98/3,275.78
  6. Step 6: Final answer
    x = 1,215.79

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1.5x scale

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.