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Finding the Fourth Proportional to 2,596.60, 3,895.17 and 2,324.44

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Solution

The fourth proportional to 2,596.60, 3,895.17 and 2,324.44 is: 3,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.60 : 3,895.17 = 2,324.44 : x
  2. Step 2: Convert to fraction form
    2,596.60/3,895.17 = 2,324.44/x
  3. Step 3: Cross multiply
    2,596.60x = 3,895.17 × 2,324.44
  4. Step 4: Simplify right side
    2,596.60x = 9,054,088.95
  5. Step 5: Solve for x
    x = 9,054,088.95/2,596.60
  6. Step 6: Final answer
    x = 3,486.90

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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.