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Finding the Fourth Proportional to 2,532.29, 3,797.99 and 682.99

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Solution

The fourth proportional to 2,532.29, 3,797.99 and 682.99 is: 1,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.29 : 3,797.99 = 682.99 : x
  2. Step 2: Convert to fraction form
    2,532.29/3,797.99 = 682.99/x
  3. Step 3: Cross multiply
    2,532.29x = 3,797.99 × 682.99
  4. Step 4: Simplify right side
    2,532.29x = 2,593,981.40
  5. Step 5: Solve for x
    x = 2,593,981.40/2,532.29
  6. Step 6: Final answer
    x = 1,024.36

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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.