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Finding the Fourth Proportional to 2,792.62, 4,188.64 and 844.38

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Solution

The fourth proportional to 2,792.62, 4,188.64 and 844.38 is: 1,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.62 : 4,188.64 = 844.38 : x
  2. Step 2: Convert to fraction form
    2,792.62/4,188.64 = 844.38/x
  3. Step 3: Cross multiply
    2,792.62x = 4,188.64 × 844.38
  4. Step 4: Simplify right side
    2,792.62x = 3,536,803.84
  5. Step 5: Solve for x
    x = 3,536,803.84/2,792.62
  6. Step 6: Final answer
    x = 1,266.48

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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.