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Finding the Fourth Proportional to 2,412.17, 3,618.69 and 768.54

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Solution

The fourth proportional to 2,412.17, 3,618.69 and 768.54 is: 1,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.17 : 3,618.69 = 768.54 : x
  2. Step 2: Convert to fraction form
    2,412.17/3,618.69 = 768.54/x
  3. Step 3: Cross multiply
    2,412.17x = 3,618.69 × 768.54
  4. Step 4: Simplify right side
    2,412.17x = 2,781,108.01
  5. Step 5: Solve for x
    x = 2,781,108.01/2,412.17
  6. Step 6: Final answer
    x = 1,152.95

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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.