Home / 2,678.16-4,016.24-922.80

Finding the Fourth Proportional to 2,678.16, 4,016.24 and 922.80

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Solution

The fourth proportional to 2,678.16, 4,016.24 and 922.80 is: 1,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.16 : 4,016.24 = 922.80 : x
  2. Step 2: Convert to fraction form
    2,678.16/4,016.24 = 922.80/x
  3. Step 3: Cross multiply
    2,678.16x = 4,016.24 × 922.80
  4. Step 4: Simplify right side
    2,678.16x = 3,706,186.27
  5. Step 5: Solve for x
    x = 3,706,186.27/2,678.16
  6. Step 6: Final answer
    x = 1,383.86

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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.