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Finding the Fourth Proportional to 3,301.70, 4,952.51 and 2,208.18

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Solution

The fourth proportional to 3,301.70, 4,952.51 and 2,208.18 is: 3,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.70 : 4,952.51 = 2,208.18 : x
  2. Step 2: Convert to fraction form
    3,301.70/4,952.51 = 2,208.18/x
  3. Step 3: Cross multiply
    3,301.70x = 4,952.51 × 2,208.18
  4. Step 4: Simplify right side
    3,301.70x = 10,936,033.53
  5. Step 5: Solve for x
    x = 10,936,033.53/3,301.70
  6. Step 6: Final answer
    x = 3,312.24

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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.