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Finding the Fourth Proportional to 2,257.93, 3,386.58 and 796.89

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Solution

The fourth proportional to 2,257.93, 3,386.58 and 796.89 is: 1,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.93 : 3,386.58 = 796.89 : x
  2. Step 2: Convert to fraction form
    2,257.93/3,386.58 = 796.89/x
  3. Step 3: Cross multiply
    2,257.93x = 3,386.58 × 796.89
  4. Step 4: Simplify right side
    2,257.93x = 2,698,731.74
  5. Step 5: Solve for x
    x = 2,698,731.74/2,257.93
  6. Step 6: Final answer
    x = 1,195.22

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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.