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Finding the Fourth Proportional to 2,320.57, 3,480.88 and 760.56

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Solution

The fourth proportional to 2,320.57, 3,480.88 and 760.56 is: 1,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.57 : 3,480.88 = 760.56 : x
  2. Step 2: Convert to fraction form
    2,320.57/3,480.88 = 760.56/x
  3. Step 3: Cross multiply
    2,320.57x = 3,480.88 × 760.56
  4. Step 4: Simplify right side
    2,320.57x = 2,647,418.09
  5. Step 5: Solve for x
    x = 2,647,418.09/2,320.57
  6. Step 6: Final answer
    x = 1,140.85

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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.