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Finding the Fourth Proportional to 2,411.97, 3,617.23 and 768.93

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Solution

The fourth proportional to 2,411.97, 3,617.23 and 768.93 is: 1,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.97 : 3,617.23 = 768.93 : x
  2. Step 2: Convert to fraction form
    2,411.97/3,617.23 = 768.93/x
  3. Step 3: Cross multiply
    2,411.97x = 3,617.23 × 768.93
  4. Step 4: Simplify right side
    2,411.97x = 2,781,396.66
  5. Step 5: Solve for x
    x = 2,781,396.66/2,411.97
  6. Step 6: Final answer
    x = 1,153.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.