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Finding the Fourth Proportional to 4,258.82, 6,384.49 and 1,659.94

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Solution

The fourth proportional to 4,258.82, 6,384.49 and 1,659.94 is: 2,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.82 : 6,384.49 = 1,659.94 : x
  2. Step 2: Convert to fraction form
    4,258.82/6,384.49 = 1,659.94/x
  3. Step 3: Cross multiply
    4,258.82x = 6,384.49 × 1,659.94
  4. Step 4: Simplify right side
    4,258.82x = 10,597,850.22
  5. Step 5: Solve for x
    x = 10,597,850.22/4,258.82
  6. Step 6: Final answer
    x = 2,488.45

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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.