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Finding the Fourth Proportional to 3,257.61, 4,886.43 and 792.44

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Solution

The fourth proportional to 3,257.61, 4,886.43 and 792.44 is: 1,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.61 : 4,886.43 = 792.44 : x
  2. Step 2: Convert to fraction form
    3,257.61/4,886.43 = 792.44/x
  3. Step 3: Cross multiply
    3,257.61x = 4,886.43 × 792.44
  4. Step 4: Simplify right side
    3,257.61x = 3,872,178.16
  5. Step 5: Solve for x
    x = 3,872,178.16/3,257.61
  6. Step 6: Final answer
    x = 1,188.66

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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.