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Finding the Fourth Proportional to 2,524.32, 3,787.08 and 792.94

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Solution

The fourth proportional to 2,524.32, 3,787.08 and 792.94 is: 1,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.32 : 3,787.08 = 792.94 : x
  2. Step 2: Convert to fraction form
    2,524.32/3,787.08 = 792.94/x
  3. Step 3: Cross multiply
    2,524.32x = 3,787.08 × 792.94
  4. Step 4: Simplify right side
    2,524.32x = 3,002,927.22
  5. Step 5: Solve for x
    x = 3,002,927.22/2,524.32
  6. Step 6: Final answer
    x = 1,189.60

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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.