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Finding the Fourth Proportional to 1,596.62, 2,395.11 and 426.67

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Solution

The fourth proportional to 1,596.62, 2,395.11 and 426.67 is: 640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.62 : 2,395.11 = 426.67 : x
  2. Step 2: Convert to fraction form
    1,596.62/2,395.11 = 426.67/x
  3. Step 3: Cross multiply
    1,596.62x = 2,395.11 × 426.67
  4. Step 4: Simplify right side
    1,596.62x = 1,021,921.58
  5. Step 5: Solve for x
    x = 1,021,921.58/1,596.62
  6. Step 6: Final answer
    x = 640.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.