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Finding the Fourth Proportional to 3,108.93, 4,661.78 and 1,159.53

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Solution

The fourth proportional to 3,108.93, 4,661.78 and 1,159.53 is: 1,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.93 : 4,661.78 = 1,159.53 : x
  2. Step 2: Convert to fraction form
    3,108.93/4,661.78 = 1,159.53/x
  3. Step 3: Cross multiply
    3,108.93x = 4,661.78 × 1,159.53
  4. Step 4: Simplify right side
    3,108.93x = 5,405,467.97
  5. Step 5: Solve for x
    x = 5,405,467.97/3,108.93
  6. Step 6: Final answer
    x = 1,738.69

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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.