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Finding the Fourth Proportional to 2,593.50, 3,890.24 and 744.63

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Solution

The fourth proportional to 2,593.50, 3,890.24 and 744.63 is: 1,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.50 : 3,890.24 = 744.63 : x
  2. Step 2: Convert to fraction form
    2,593.50/3,890.24 = 744.63/x
  3. Step 3: Cross multiply
    2,593.50x = 3,890.24 × 744.63
  4. Step 4: Simplify right side
    2,593.50x = 2,896,785.69
  5. Step 5: Solve for x
    x = 2,896,785.69/2,593.50
  6. Step 6: Final answer
    x = 1,116.94

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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.