Home / 2,065.14-3,097.09-584.26

Finding the Fourth Proportional to 2,065.14, 3,097.09 and 584.26

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Solution

The fourth proportional to 2,065.14, 3,097.09 and 584.26 is: 876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.14 : 3,097.09 = 584.26 : x
  2. Step 2: Convert to fraction form
    2,065.14/3,097.09 = 584.26/x
  3. Step 3: Cross multiply
    2,065.14x = 3,097.09 × 584.26
  4. Step 4: Simplify right side
    2,065.14x = 1,809,505.80
  5. Step 5: Solve for x
    x = 1,809,505.80/2,065.14
  6. Step 6: Final answer
    x = 876.21

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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.