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Finding the Fourth Proportional to 2,589.47, 3,573.47 and 1,410.54

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Solution

The fourth proportional to 2,589.47, 3,573.47 and 1,410.54 is: 1,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.47 : 3,573.47 = 1,410.54 : x
  2. Step 2: Convert to fraction form
    2,589.47/3,573.47 = 1,410.54/x
  3. Step 3: Cross multiply
    2,589.47x = 3,573.47 × 1,410.54
  4. Step 4: Simplify right side
    2,589.47x = 5,040,514.62
  5. Step 5: Solve for x
    x = 5,040,514.62/2,589.47
  6. Step 6: Final answer
    x = 1,946.54

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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.