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Finding the Fourth Proportional to 2,589.76, 3,573.91 and 1,410.85

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Solution

The fourth proportional to 2,589.76, 3,573.91 and 1,410.85 is: 1,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.76 : 3,573.91 = 1,410.85 : x
  2. Step 2: Convert to fraction form
    2,589.76/3,573.91 = 1,410.85/x
  3. Step 3: Cross multiply
    2,589.76x = 3,573.91 × 1,410.85
  4. Step 4: Simplify right side
    2,589.76x = 5,042,250.92
  5. Step 5: Solve for x
    x = 5,042,250.92/2,589.76
  6. Step 6: Final answer
    x = 1,947.00

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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.