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Finding the Fourth Proportional to 3,207.62, 4,797.54 and 1,888.23

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Solution

The fourth proportional to 3,207.62, 4,797.54 and 1,888.23 is: 2,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.62 : 4,797.54 = 1,888.23 : x
  2. Step 2: Convert to fraction form
    3,207.62/4,797.54 = 1,888.23/x
  3. Step 3: Cross multiply
    3,207.62x = 4,797.54 × 1,888.23
  4. Step 4: Simplify right side
    3,207.62x = 9,058,858.95
  5. Step 5: Solve for x
    x = 9,058,858.95/3,207.62
  6. Step 6: Final answer
    x = 2,824.17

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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.