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Finding the Fourth Proportional to 3,287.31, 4,536.18 and 1,960.53

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Solution

The fourth proportional to 3,287.31, 4,536.18 and 1,960.53 is: 2,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.31 : 4,536.18 = 1,960.53 : x
  2. Step 2: Convert to fraction form
    3,287.31/4,536.18 = 1,960.53/x
  3. Step 3: Cross multiply
    3,287.31x = 4,536.18 × 1,960.53
  4. Step 4: Simplify right side
    3,287.31x = 8,893,316.98
  5. Step 5: Solve for x
    x = 8,893,316.98/3,287.31
  6. Step 6: Final answer
    x = 2,705.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.