Home / 1,546.11-2,317.62-998.68

Finding the Fourth Proportional to 1,546.11, 2,317.62 and 998.68

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Solution

The fourth proportional to 1,546.11, 2,317.62 and 998.68 is: 1,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.11 : 2,317.62 = 998.68 : x
  2. Step 2: Convert to fraction form
    1,546.11/2,317.62 = 998.68/x
  3. Step 3: Cross multiply
    1,546.11x = 2,317.62 × 998.68
  4. Step 4: Simplify right side
    1,546.11x = 2,314,560.74
  5. Step 5: Solve for x
    x = 2,314,560.74/1,546.11
  6. Step 6: Final answer
    x = 1,497.02

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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.