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Finding the Fourth Proportional to 2,589.42, 3,573.36 and 1,410.51

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Solution

The fourth proportional to 2,589.42, 3,573.36 and 1,410.51 is: 1,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.42 : 3,573.36 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    2,589.42/3,573.36 = 1,410.51/x
  3. Step 3: Cross multiply
    2,589.42x = 3,573.36 × 1,410.51
  4. Step 4: Simplify right side
    2,589.42x = 5,040,260.01
  5. Step 5: Solve for x
    x = 5,040,260.01/2,589.42
  6. Step 6: Final answer
    x = 1,946.48

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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.