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Finding the Fourth Proportional to 2,410.72, 3,609.24 and 1,586.51

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Solution

The fourth proportional to 2,410.72, 3,609.24 and 1,586.51 is: 2,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.72 : 3,609.24 = 1,586.51 : x
  2. Step 2: Convert to fraction form
    2,410.72/3,609.24 = 1,586.51/x
  3. Step 3: Cross multiply
    2,410.72x = 3,609.24 × 1,586.51
  4. Step 4: Simplify right side
    2,410.72x = 5,726,095.35
  5. Step 5: Solve for x
    x = 5,726,095.35/2,410.72
  6. Step 6: Final answer
    x = 2,375.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.