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Finding the Fourth Proportional to 2,328.75, 3,493.22 and 960.75

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Solution

The fourth proportional to 2,328.75, 3,493.22 and 960.75 is: 1,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.75 : 3,493.22 = 960.75 : x
  2. Step 2: Convert to fraction form
    2,328.75/3,493.22 = 960.75/x
  3. Step 3: Cross multiply
    2,328.75x = 3,493.22 × 960.75
  4. Step 4: Simplify right side
    2,328.75x = 3,356,106.31
  5. Step 5: Solve for x
    x = 3,356,106.31/2,328.75
  6. Step 6: Final answer
    x = 1,441.16

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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.