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Finding the Fourth Proportional to 2,396.65, 3,593.62 and 934.12

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Solution

The fourth proportional to 2,396.65, 3,593.62 and 934.12 is: 1,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.65 : 3,593.62 = 934.12 : x
  2. Step 2: Convert to fraction form
    2,396.65/3,593.62 = 934.12/x
  3. Step 3: Cross multiply
    2,396.65x = 3,593.62 × 934.12
  4. Step 4: Simplify right side
    2,396.65x = 3,356,872.31
  5. Step 5: Solve for x
    x = 3,356,872.31/2,396.65
  6. Step 6: Final answer
    x = 1,400.65

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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.