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Finding the Fourth Proportional to 2,589.89, 3,574.13 and 1,411.04

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Solution

The fourth proportional to 2,589.89, 3,574.13 and 1,411.04 is: 1,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.89 : 3,574.13 = 1,411.04 : x
  2. Step 2: Convert to fraction form
    2,589.89/3,574.13 = 1,411.04/x
  3. Step 3: Cross multiply
    2,589.89x = 3,574.13 × 1,411.04
  4. Step 4: Simplify right side
    2,589.89x = 5,043,242.28
  5. Step 5: Solve for x
    x = 5,043,242.28/2,589.89
  6. Step 6: Final answer
    x = 1,947.28

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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.