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Finding the Fourth Proportional to 2,396.65, 3,594.84 and 665.23

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Solution

The fourth proportional to 2,396.65, 3,594.84 and 665.23 is: 997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.65 : 3,594.84 = 665.23 : x
  2. Step 2: Convert to fraction form
    2,396.65/3,594.84 = 665.23/x
  3. Step 3: Cross multiply
    2,396.65x = 3,594.84 × 665.23
  4. Step 4: Simplify right side
    2,396.65x = 2,391,395.41
  5. Step 5: Solve for x
    x = 2,391,395.41/2,396.65
  6. Step 6: Final answer
    x = 997.81

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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.