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Finding the Fourth Proportional to 3,263.94, 4,891.49 and 2,382.31

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Solution

The fourth proportional to 3,263.94, 4,891.49 and 2,382.31 is: 3,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.94 : 4,891.49 = 2,382.31 : x
  2. Step 2: Convert to fraction form
    3,263.94/4,891.49 = 2,382.31/x
  3. Step 3: Cross multiply
    3,263.94x = 4,891.49 × 2,382.31
  4. Step 4: Simplify right side
    3,263.94x = 11,653,030.34
  5. Step 5: Solve for x
    x = 11,653,030.34/3,263.94
  6. Step 6: Final answer
    x = 3,570.23

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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.