Home / 2,065.09-3,097.41-584.27

Finding the Fourth Proportional to 2,065.09, 3,097.41 and 584.27

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Solution

The fourth proportional to 2,065.09, 3,097.41 and 584.27 is: 876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.09 : 3,097.41 = 584.27 : x
  2. Step 2: Convert to fraction form
    2,065.09/3,097.41 = 584.27/x
  3. Step 3: Cross multiply
    2,065.09x = 3,097.41 × 584.27
  4. Step 4: Simplify right side
    2,065.09x = 1,809,720.82
  5. Step 5: Solve for x
    x = 1,809,720.82/2,065.09
  6. Step 6: Final answer
    x = 876.34

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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.