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Finding the Fourth Proportional to 2,528.20, 3,792.14 and 773.20

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Solution

The fourth proportional to 2,528.20, 3,792.14 and 773.20 is: 1,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.20 : 3,792.14 = 773.20 : x
  2. Step 2: Convert to fraction form
    2,528.20/3,792.14 = 773.20/x
  3. Step 3: Cross multiply
    2,528.20x = 3,792.14 × 773.20
  4. Step 4: Simplify right side
    2,528.20x = 2,932,082.65
  5. Step 5: Solve for x
    x = 2,932,082.65/2,528.20
  6. Step 6: Final answer
    x = 1,159.75

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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.