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Finding the Fourth Proportional to 3,191.65, 4,404.56 and 1,932.93

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Solution

The fourth proportional to 3,191.65, 4,404.56 and 1,932.93 is: 2,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.65 : 4,404.56 = 1,932.93 : x
  2. Step 2: Convert to fraction form
    3,191.65/4,404.56 = 1,932.93/x
  3. Step 3: Cross multiply
    3,191.65x = 4,404.56 × 1,932.93
  4. Step 4: Simplify right side
    3,191.65x = 8,513,684.14
  5. Step 5: Solve for x
    x = 8,513,684.14/3,191.65
  6. Step 6: Final answer
    x = 2,667.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.