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Finding the Fourth Proportional to 2,596.19, 3,894.32 and 864.82

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Solution

The fourth proportional to 2,596.19, 3,894.32 and 864.82 is: 1,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.19 : 3,894.32 = 864.82 : x
  2. Step 2: Convert to fraction form
    2,596.19/3,894.32 = 864.82/x
  3. Step 3: Cross multiply
    2,596.19x = 3,894.32 × 864.82
  4. Step 4: Simplify right side
    2,596.19x = 3,367,885.82
  5. Step 5: Solve for x
    x = 3,367,885.82/2,596.19
  6. Step 6: Final answer
    x = 1,297.24

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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.