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Finding the Fourth Proportional to 2,793.16, 4,187.94 and 844.84

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Solution

The fourth proportional to 2,793.16, 4,187.94 and 844.84 is: 1,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.16 : 4,187.94 = 844.84 : x
  2. Step 2: Convert to fraction form
    2,793.16/4,187.94 = 844.84/x
  3. Step 3: Cross multiply
    2,793.16x = 4,187.94 × 844.84
  4. Step 4: Simplify right side
    2,793.16x = 3,538,139.23
  5. Step 5: Solve for x
    x = 3,538,139.23/2,793.16
  6. Step 6: Final answer
    x = 1,266.72

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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.