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Finding the Fourth Proportional to 2,596.59, 3,894.89 and 865.22

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Solution

The fourth proportional to 2,596.59, 3,894.89 and 865.22 is: 1,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.59 : 3,894.89 = 865.22 : x
  2. Step 2: Convert to fraction form
    2,596.59/3,894.89 = 865.22/x
  3. Step 3: Cross multiply
    2,596.59x = 3,894.89 × 865.22
  4. Step 4: Simplify right side
    2,596.59x = 3,369,912.93
  5. Step 5: Solve for x
    x = 3,369,912.93/2,596.59
  6. Step 6: Final answer
    x = 1,297.82

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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.