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Finding the Fourth Proportional to 2,593.04, 3,890.06 and 838.47

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Solution

The fourth proportional to 2,593.04, 3,890.06 and 838.47 is: 1,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.04 : 3,890.06 = 838.47 : x
  2. Step 2: Convert to fraction form
    2,593.04/3,890.06 = 838.47/x
  3. Step 3: Cross multiply
    2,593.04x = 3,890.06 × 838.47
  4. Step 4: Simplify right side
    2,593.04x = 3,261,712.15
  5. Step 5: Solve for x
    x = 3,261,712.15/2,593.04
  6. Step 6: Final answer
    x = 1,257.87

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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.