Home / 1,546.24-2,317.81-998.81

Finding the Fourth Proportional to 1,546.24, 2,317.81 and 998.81

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Solution

The fourth proportional to 1,546.24, 2,317.81 and 998.81 is: 1,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.24 : 2,317.81 = 998.81 : x
  2. Step 2: Convert to fraction form
    1,546.24/2,317.81 = 998.81/x
  3. Step 3: Cross multiply
    1,546.24x = 2,317.81 × 998.81
  4. Step 4: Simplify right side
    1,546.24x = 2,315,051.81
  5. Step 5: Solve for x
    x = 2,315,051.81/1,546.24
  6. Step 6: Final answer
    x = 1,497.21

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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.