Home / 1,546.18-2,316.81-967.84

Finding the Fourth Proportional to 1,546.18, 2,316.81 and 967.84

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Solution

The fourth proportional to 1,546.18, 2,316.81 and 967.84 is: 1,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.18 : 2,316.81 = 967.84 : x
  2. Step 2: Convert to fraction form
    1,546.18/2,316.81 = 967.84/x
  3. Step 3: Cross multiply
    1,546.18x = 2,316.81 × 967.84
  4. Step 4: Simplify right side
    1,546.18x = 2,242,301.39
  5. Step 5: Solve for x
    x = 2,242,301.39/1,546.18
  6. Step 6: Final answer
    x = 1,450.22

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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.