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Finding the Fourth Proportional to 2,589.99, 3,574.26 and 1,411.14

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Solution

The fourth proportional to 2,589.99, 3,574.26 and 1,411.14 is: 1,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.99 : 3,574.26 = 1,411.14 : x
  2. Step 2: Convert to fraction form
    2,589.99/3,574.26 = 1,411.14/x
  3. Step 3: Cross multiply
    2,589.99x = 3,574.26 × 1,411.14
  4. Step 4: Simplify right side
    2,589.99x = 5,043,781.26
  5. Step 5: Solve for x
    x = 5,043,781.26/2,589.99
  6. Step 6: Final answer
    x = 1,947.41

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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.