Home / 2,084.74-3,127.21-698.12

Finding the Fourth Proportional to 2,084.74, 3,127.21 and 698.12

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Solution

The fourth proportional to 2,084.74, 3,127.21 and 698.12 is: 1,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.74 : 3,127.21 = 698.12 : x
  2. Step 2: Convert to fraction form
    2,084.74/3,127.21 = 698.12/x
  3. Step 3: Cross multiply
    2,084.74x = 3,127.21 × 698.12
  4. Step 4: Simplify right side
    2,084.74x = 2,183,162.19
  5. Step 5: Solve for x
    x = 2,183,162.19/2,084.74
  6. Step 6: Final answer
    x = 1,047.21

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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.