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Finding the Fourth Proportional to 1,648.92, 2,471.60 and 825.56

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Solution

The fourth proportional to 1,648.92, 2,471.60 and 825.56 is: 1,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.92 : 2,471.60 = 825.56 : x
  2. Step 2: Convert to fraction form
    1,648.92/2,471.60 = 825.56/x
  3. Step 3: Cross multiply
    1,648.92x = 2,471.60 × 825.56
  4. Step 4: Simplify right side
    1,648.92x = 2,040,454.10
  5. Step 5: Solve for x
    x = 2,040,454.10/1,648.92
  6. Step 6: Final answer
    x = 1,237.45

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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.