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Finding the Fourth Proportional to 2,648.61, 3,972.93 and 799.74

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Solution

The fourth proportional to 2,648.61, 3,972.93 and 799.74 is: 1,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.61 : 3,972.93 = 799.74 : x
  2. Step 2: Convert to fraction form
    2,648.61/3,972.93 = 799.74/x
  3. Step 3: Cross multiply
    2,648.61x = 3,972.93 × 799.74
  4. Step 4: Simplify right side
    2,648.61x = 3,177,299.14
  5. Step 5: Solve for x
    x = 3,177,299.14/2,648.61
  6. Step 6: Final answer
    x = 1,199.61

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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.