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Finding the Fourth Proportional to 3,207.82, 4,812.43 and 986.66

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Solution

The fourth proportional to 3,207.82, 4,812.43 and 986.66 is: 1,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.82 : 4,812.43 = 986.66 : x
  2. Step 2: Convert to fraction form
    3,207.82/4,812.43 = 986.66/x
  3. Step 3: Cross multiply
    3,207.82x = 4,812.43 × 986.66
  4. Step 4: Simplify right side
    3,207.82x = 4,748,232.18
  5. Step 5: Solve for x
    x = 4,748,232.18/3,207.82
  6. Step 6: Final answer
    x = 1,480.21

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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.