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Finding the Fourth Proportional to 2,641.94, 3,963.27 and 1,409.30

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Solution

The fourth proportional to 2,641.94, 3,963.27 and 1,409.30 is: 2,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.94 : 3,963.27 = 1,409.30 : x
  2. Step 2: Convert to fraction form
    2,641.94/3,963.27 = 1,409.30/x
  3. Step 3: Cross multiply
    2,641.94x = 3,963.27 × 1,409.30
  4. Step 4: Simplify right side
    2,641.94x = 5,585,436.41
  5. Step 5: Solve for x
    x = 5,585,436.41/2,641.94
  6. Step 6: Final answer
    x = 2,114.14

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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.