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Finding the Fourth Proportional to 2,412.48, 3,618.80 and 769.12

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Solution

The fourth proportional to 2,412.48, 3,618.80 and 769.12 is: 1,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.48 : 3,618.80 = 769.12 : x
  2. Step 2: Convert to fraction form
    2,412.48/3,618.80 = 769.12/x
  3. Step 3: Cross multiply
    2,412.48x = 3,618.80 × 769.12
  4. Step 4: Simplify right side
    2,412.48x = 2,783,291.46
  5. Step 5: Solve for x
    x = 2,783,291.46/2,412.48
  6. Step 6: Final answer
    x = 1,153.71

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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.