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Finding the Fourth Proportional to 2,796.93, 4,195.91 and 922.93

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Solution

The fourth proportional to 2,796.93, 4,195.91 and 922.93 is: 1,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.93 : 4,195.91 = 922.93 : x
  2. Step 2: Convert to fraction form
    2,796.93/4,195.91 = 922.93/x
  3. Step 3: Cross multiply
    2,796.93x = 4,195.91 × 922.93
  4. Step 4: Simplify right side
    2,796.93x = 3,872,531.22
  5. Step 5: Solve for x
    x = 3,872,531.22/2,796.93
  6. Step 6: Final answer
    x = 1,384.56

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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.