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Finding the Fourth Proportional to 2,586.15, 3,877.29 and 1,609.29

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Solution

The fourth proportional to 2,586.15, 3,877.29 and 1,609.29 is: 2,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.15 : 3,877.29 = 1,609.29 : x
  2. Step 2: Convert to fraction form
    2,586.15/3,877.29 = 1,609.29/x
  3. Step 3: Cross multiply
    2,586.15x = 3,877.29 × 1,609.29
  4. Step 4: Simplify right side
    2,586.15x = 6,239,684.02
  5. Step 5: Solve for x
    x = 6,239,684.02/2,586.15
  6. Step 6: Final answer
    x = 2,412.73

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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.