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Finding the Fourth Proportional to 2,593.41, 3,890.07 and 645.63

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Solution

The fourth proportional to 2,593.41, 3,890.07 and 645.63 is: 968.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.41 : 3,890.07 = 645.63 : x
  2. Step 2: Convert to fraction form
    2,593.41/3,890.07 = 645.63/x
  3. Step 3: Cross multiply
    2,593.41x = 3,890.07 × 645.63
  4. Step 4: Simplify right side
    2,593.41x = 2,511,545.89
  5. Step 5: Solve for x
    x = 2,511,545.89/2,593.41
  6. Step 6: Final answer
    x = 968.43

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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.