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Finding the Fourth Proportional to 2,867.78, 4,302.22 and 1,136.54

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Solution

The fourth proportional to 2,867.78, 4,302.22 and 1,136.54 is: 1,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.78 : 4,302.22 = 1,136.54 : x
  2. Step 2: Convert to fraction form
    2,867.78/4,302.22 = 1,136.54/x
  3. Step 3: Cross multiply
    2,867.78x = 4,302.22 × 1,136.54
  4. Step 4: Simplify right side
    2,867.78x = 4,889,645.12
  5. Step 5: Solve for x
    x = 4,889,645.12/2,867.78
  6. Step 6: Final answer
    x = 1,705.03

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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.