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Finding the Fourth Proportional to 3,286.90, 4,931.03 and 1,206.82

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Solution

The fourth proportional to 3,286.90, 4,931.03 and 1,206.82 is: 1,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.90 : 4,931.03 = 1,206.82 : x
  2. Step 2: Convert to fraction form
    3,286.90/4,931.03 = 1,206.82/x
  3. Step 3: Cross multiply
    3,286.90x = 4,931.03 × 1,206.82
  4. Step 4: Simplify right side
    3,286.90x = 5,950,840.28
  5. Step 5: Solve for x
    x = 5,950,840.28/3,286.90
  6. Step 6: Final answer
    x = 1,810.47

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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.