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Finding the Fourth Proportional to 2,257.48, 3,386.13 and 796.65

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Solution

The fourth proportional to 2,257.48, 3,386.13 and 796.65 is: 1,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.48 : 3,386.13 = 796.65 : x
  2. Step 2: Convert to fraction form
    2,257.48/3,386.13 = 796.65/x
  3. Step 3: Cross multiply
    2,257.48x = 3,386.13 × 796.65
  4. Step 4: Simplify right side
    2,257.48x = 2,697,560.46
  5. Step 5: Solve for x
    x = 2,697,560.46/2,257.48
  6. Step 6: Final answer
    x = 1,194.94

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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.