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Finding the Fourth Proportional to 2,396.61, 3,596.54 and 935.57

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Solution

The fourth proportional to 2,396.61, 3,596.54 and 935.57 is: 1,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.61 : 3,596.54 = 935.57 : x
  2. Step 2: Convert to fraction form
    2,396.61/3,596.54 = 935.57/x
  3. Step 3: Cross multiply
    2,396.61x = 3,596.54 × 935.57
  4. Step 4: Simplify right side
    2,396.61x = 3,364,819.24
  5. Step 5: Solve for x
    x = 3,364,819.24/2,396.61
  6. Step 6: Final answer
    x = 1,403.99

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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.