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Finding the Fourth Proportional to 2,586.06, 3,873.42 and 1,857.06

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Solution

The fourth proportional to 2,586.06, 3,873.42 and 1,857.06 is: 2,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.06 : 3,873.42 = 1,857.06 : x
  2. Step 2: Convert to fraction form
    2,586.06/3,873.42 = 1,857.06/x
  3. Step 3: Cross multiply
    2,586.06x = 3,873.42 × 1,857.06
  4. Step 4: Simplify right side
    2,586.06x = 7,193,173.35
  5. Step 5: Solve for x
    x = 7,193,173.35/2,586.06
  6. Step 6: Final answer
    x = 2,781.52

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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.