Home / 2,309.26-3,461.75-922.25

Finding the Fourth Proportional to 2,309.26, 3,461.75 and 922.25

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Solution

The fourth proportional to 2,309.26, 3,461.75 and 922.25 is: 1,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.26 : 3,461.75 = 922.25 : x
  2. Step 2: Convert to fraction form
    2,309.26/3,461.75 = 922.25/x
  3. Step 3: Cross multiply
    2,309.26x = 3,461.75 × 922.25
  4. Step 4: Simplify right side
    2,309.26x = 3,192,594.33
  5. Step 5: Solve for x
    x = 3,192,594.33/2,309.26
  6. Step 6: Final answer
    x = 1,382.52

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1.5x scale

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.