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Finding the Fourth Proportional to 2,589.54, 3,573.56 and 1,410.61

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Solution

The fourth proportional to 2,589.54, 3,573.56 and 1,410.61 is: 1,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.54 : 3,573.56 = 1,410.61 : x
  2. Step 2: Convert to fraction form
    2,589.54/3,573.56 = 1,410.61/x
  3. Step 3: Cross multiply
    2,589.54x = 3,573.56 × 1,410.61
  4. Step 4: Simplify right side
    2,589.54x = 5,040,899.47
  5. Step 5: Solve for x
    x = 5,040,899.47/2,589.54
  6. Step 6: Final answer
    x = 1,946.64

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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.