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Finding the Fourth Proportional to 2,400.66, 3,601.56 and 757.17

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Solution

The fourth proportional to 2,400.66, 3,601.56 and 757.17 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.66 : 3,601.56 = 757.17 : x
  2. Step 2: Convert to fraction form
    2,400.66/3,601.56 = 757.17/x
  3. Step 3: Cross multiply
    2,400.66x = 3,601.56 × 757.17
  4. Step 4: Simplify right side
    2,400.66x = 2,726,993.19
  5. Step 5: Solve for x
    x = 2,726,993.19/2,400.66
  6. Step 6: Final answer
    x = 1,135.93

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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.