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Finding the Fourth Proportional to 2,411.67, 3,617.94 and 768.05

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Solution

The fourth proportional to 2,411.67, 3,617.94 and 768.05 is: 1,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.67 : 3,617.94 = 768.05 : x
  2. Step 2: Convert to fraction form
    2,411.67/3,617.94 = 768.05/x
  3. Step 3: Cross multiply
    2,411.67x = 3,617.94 × 768.05
  4. Step 4: Simplify right side
    2,411.67x = 2,778,740.73
  5. Step 5: Solve for x
    x = 2,778,740.73/2,411.67
  6. Step 6: Final answer
    x = 1,152.21

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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.