Home / 2,286.16-3,430.49-969.71

Finding the Fourth Proportional to 2,286.16, 3,430.49 and 969.71

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Solution

The fourth proportional to 2,286.16, 3,430.49 and 969.71 is: 1,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.16 : 3,430.49 = 969.71 : x
  2. Step 2: Convert to fraction form
    2,286.16/3,430.49 = 969.71/x
  3. Step 3: Cross multiply
    2,286.16x = 3,430.49 × 969.71
  4. Step 4: Simplify right side
    2,286.16x = 3,326,571.88
  5. Step 5: Solve for x
    x = 3,326,571.88/2,286.16
  6. Step 6: Final answer
    x = 1,455.09

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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.