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Finding the Fourth Proportional to 2,589.85, 3,574.01 and 1,410.94

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Solution

The fourth proportional to 2,589.85, 3,574.01 and 1,410.94 is: 1,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.85 : 3,574.01 = 1,410.94 : x
  2. Step 2: Convert to fraction form
    2,589.85/3,574.01 = 1,410.94/x
  3. Step 3: Cross multiply
    2,589.85x = 3,574.01 × 1,410.94
  4. Step 4: Simplify right side
    2,589.85x = 5,042,713.67
  5. Step 5: Solve for x
    x = 5,042,713.67/2,589.85
  6. Step 6: Final answer
    x = 1,947.11

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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.