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Finding the Fourth Proportional to 2,586.34, 3,874.13 and 2,146.56

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Solution

The fourth proportional to 2,586.34, 3,874.13 and 2,146.56 is: 3,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.34 : 3,874.13 = 2,146.56 : x
  2. Step 2: Convert to fraction form
    2,586.34/3,874.13 = 2,146.56/x
  3. Step 3: Cross multiply
    2,586.34x = 3,874.13 × 2,146.56
  4. Step 4: Simplify right side
    2,586.34x = 8,316,052.49
  5. Step 5: Solve for x
    x = 8,316,052.49/2,586.34
  6. Step 6: Final answer
    x = 3,215.37

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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.