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Finding the Fourth Proportional to 2,589.98, 3,574.16 and 1,411.05

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Solution

The fourth proportional to 2,589.98, 3,574.16 and 1,411.05 is: 1,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.98 : 3,574.16 = 1,411.05 : x
  2. Step 2: Convert to fraction form
    2,589.98/3,574.16 = 1,411.05/x
  3. Step 3: Cross multiply
    2,589.98x = 3,574.16 × 1,411.05
  4. Step 4: Simplify right side
    2,589.98x = 5,043,293.54
  5. Step 5: Solve for x
    x = 5,043,293.54/2,589.98
  6. Step 6: Final answer
    x = 1,947.23

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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.