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Finding the Fourth Proportional to 1,596.96, 2,395.55 and 426.93

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Solution

The fourth proportional to 1,596.96, 2,395.55 and 426.93 is: 640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.96 : 2,395.55 = 426.93 : x
  2. Step 2: Convert to fraction form
    1,596.96/2,395.55 = 426.93/x
  3. Step 3: Cross multiply
    1,596.96x = 2,395.55 × 426.93
  4. Step 4: Simplify right side
    1,596.96x = 1,022,736.02
  5. Step 5: Solve for x
    x = 1,022,736.02/1,596.96
  6. Step 6: Final answer
    x = 640.43

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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.