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Finding the Fourth Proportional to 2,792, 4,188 and 844.16

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Solution

The fourth proportional to 2,792, 4,188 and 844.16 is: 1,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792 : 4,188 = 844.16 : x
  2. Step 2: Convert to fraction form
    2,792/4,188 = 844.16/x
  3. Step 3: Cross multiply
    2,792x = 4,188 × 844.16
  4. Step 4: Simplify right side
    2,792x = 3,535,342.08
  5. Step 5: Solve for x
    x = 3,535,342.08/2,792
  6. Step 6: Final answer
    x = 1,266.24

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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.