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Finding the Fourth Proportional to 2,529.06, 3,792.99 and 968.49

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Solution

The fourth proportional to 2,529.06, 3,792.99 and 968.49 is: 1,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.06 : 3,792.99 = 968.49 : x
  2. Step 2: Convert to fraction form
    2,529.06/3,792.99 = 968.49/x
  3. Step 3: Cross multiply
    2,529.06x = 3,792.99 × 968.49
  4. Step 4: Simplify right side
    2,529.06x = 3,673,472.89
  5. Step 5: Solve for x
    x = 3,673,472.89/2,529.06
  6. Step 6: Final answer
    x = 1,452.51

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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.