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Finding the Fourth Proportional to 2,795.93, 4,194.41 and 921.93

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Solution

The fourth proportional to 2,795.93, 4,194.41 and 921.93 is: 1,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.93 : 4,194.41 = 921.93 : x
  2. Step 2: Convert to fraction form
    2,795.93/4,194.41 = 921.93/x
  3. Step 3: Cross multiply
    2,795.93x = 4,194.41 × 921.93
  4. Step 4: Simplify right side
    2,795.93x = 3,866,952.41
  5. Step 5: Solve for x
    x = 3,866,952.41/2,795.93
  6. Step 6: Final answer
    x = 1,383.06

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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.