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Finding the Fourth Proportional to 2,185.09, 3,275.34 and 723.31

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Solution

The fourth proportional to 2,185.09, 3,275.34 and 723.31 is: 1,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.09 : 3,275.34 = 723.31 : x
  2. Step 2: Convert to fraction form
    2,185.09/3,275.34 = 723.31/x
  3. Step 3: Cross multiply
    2,185.09x = 3,275.34 × 723.31
  4. Step 4: Simplify right side
    2,185.09x = 2,369,086.18
  5. Step 5: Solve for x
    x = 2,369,086.18/2,185.09
  6. Step 6: Final answer
    x = 1,084.21

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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.