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Finding the Fourth Proportional to 2,618.59, 3,926.94 and 769.21

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Solution

The fourth proportional to 2,618.59, 3,926.94 and 769.21 is: 1,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.59 : 3,926.94 = 769.21 : x
  2. Step 2: Convert to fraction form
    2,618.59/3,926.94 = 769.21/x
  3. Step 3: Cross multiply
    2,618.59x = 3,926.94 × 769.21
  4. Step 4: Simplify right side
    2,618.59x = 3,020,641.52
  5. Step 5: Solve for x
    x = 3,020,641.52/2,618.59
  6. Step 6: Final answer
    x = 1,153.54

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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.