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Finding the Fourth Proportional to 2,412.95, 3,619.83 and 769.37

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Solution

The fourth proportional to 2,412.95, 3,619.83 and 769.37 is: 1,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.95 : 3,619.83 = 769.37 : x
  2. Step 2: Convert to fraction form
    2,412.95/3,619.83 = 769.37/x
  3. Step 3: Cross multiply
    2,412.95x = 3,619.83 × 769.37
  4. Step 4: Simplify right side
    2,412.95x = 2,784,988.61
  5. Step 5: Solve for x
    x = 2,784,988.61/2,412.95
  6. Step 6: Final answer
    x = 1,154.18

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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.