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Finding the Fourth Proportional to 2,257.50, 3,386.24 and 796.30

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Solution

The fourth proportional to 2,257.50, 3,386.24 and 796.30 is: 1,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.50 : 3,386.24 = 796.30 : x
  2. Step 2: Convert to fraction form
    2,257.50/3,386.24 = 796.30/x
  3. Step 3: Cross multiply
    2,257.50x = 3,386.24 × 796.30
  4. Step 4: Simplify right side
    2,257.50x = 2,696,462.91
  5. Step 5: Solve for x
    x = 2,696,462.91/2,257.50
  6. Step 6: Final answer
    x = 1,194.45

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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.