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Finding the Fourth Proportional to 2,641.84, 3,963.42 and 792.99

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Solution

The fourth proportional to 2,641.84, 3,963.42 and 792.99 is: 1,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.84 : 3,963.42 = 792.99 : x
  2. Step 2: Convert to fraction form
    2,641.84/3,963.42 = 792.99/x
  3. Step 3: Cross multiply
    2,641.84x = 3,963.42 × 792.99
  4. Step 4: Simplify right side
    2,641.84x = 3,142,952.43
  5. Step 5: Solve for x
    x = 3,142,952.43/2,641.84
  6. Step 6: Final answer
    x = 1,189.68

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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.