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Finding the Fourth Proportional to 2,707.31, 4,061.08 and 858.39

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Solution

The fourth proportional to 2,707.31, 4,061.08 and 858.39 is: 1,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.31 : 4,061.08 = 858.39 : x
  2. Step 2: Convert to fraction form
    2,707.31/4,061.08 = 858.39/x
  3. Step 3: Cross multiply
    2,707.31x = 4,061.08 × 858.39
  4. Step 4: Simplify right side
    2,707.31x = 3,485,990.46
  5. Step 5: Solve for x
    x = 3,485,990.46/2,707.31
  6. Step 6: Final answer
    x = 1,287.62

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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.