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Finding the Fourth Proportional to 4,322.33, 6,480.41 and 2,098.79

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Solution

The fourth proportional to 4,322.33, 6,480.41 and 2,098.79 is: 3,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.33 : 6,480.41 = 2,098.79 : x
  2. Step 2: Convert to fraction form
    4,322.33/6,480.41 = 2,098.79/x
  3. Step 3: Cross multiply
    4,322.33x = 6,480.41 × 2,098.79
  4. Step 4: Simplify right side
    4,322.33x = 13,600,976.81
  5. Step 5: Solve for x
    x = 13,600,976.81/4,322.33
  6. Step 6: Final answer
    x = 3,146.68

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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.