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Finding the Fourth Proportional to 2,641.65, 3,963.14 and 792.80

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Solution

The fourth proportional to 2,641.65, 3,963.14 and 792.80 is: 1,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.65 : 3,963.14 = 792.80 : x
  2. Step 2: Convert to fraction form
    2,641.65/3,963.14 = 792.80/x
  3. Step 3: Cross multiply
    2,641.65x = 3,963.14 × 792.80
  4. Step 4: Simplify right side
    2,641.65x = 3,141,986.31
  5. Step 5: Solve for x
    x = 3,141,986.31/2,641.65
  6. Step 6: Final answer
    x = 1,189.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.