Home / 2,084.35-3,127.75-769.02

Finding the Fourth Proportional to 2,084.35, 3,127.75 and 769.02

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Solution

The fourth proportional to 2,084.35, 3,127.75 and 769.02 is: 1,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.35 : 3,127.75 = 769.02 : x
  2. Step 2: Convert to fraction form
    2,084.35/3,127.75 = 769.02/x
  3. Step 3: Cross multiply
    2,084.35x = 3,127.75 × 769.02
  4. Step 4: Simplify right side
    2,084.35x = 2,405,304.23
  5. Step 5: Solve for x
    x = 2,405,304.23/2,084.35
  6. Step 6: Final answer
    x = 1,153.98

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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.