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Finding the Fourth Proportional to 4,098.62, 6,151.07 and 1,633.59

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Solution

The fourth proportional to 4,098.62, 6,151.07 and 1,633.59 is: 2,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.62 : 6,151.07 = 1,633.59 : x
  2. Step 2: Convert to fraction form
    4,098.62/6,151.07 = 1,633.59/x
  3. Step 3: Cross multiply
    4,098.62x = 6,151.07 × 1,633.59
  4. Step 4: Simplify right side
    4,098.62x = 10,048,330.53
  5. Step 5: Solve for x
    x = 10,048,330.53/4,098.62
  6. Step 6: Final answer
    x = 2,451.64

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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.