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Finding the Fourth Proportional to 1,679.35, 2,522.97 and 1,586.10

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Solution

The fourth proportional to 1,679.35, 2,522.97 and 1,586.10 is: 2,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.35 : 2,522.97 = 1,586.10 : x
  2. Step 2: Convert to fraction form
    1,679.35/2,522.97 = 1,586.10/x
  3. Step 3: Cross multiply
    1,679.35x = 2,522.97 × 1,586.10
  4. Step 4: Simplify right side
    1,679.35x = 4,001,682.72
  5. Step 5: Solve for x
    x = 4,001,682.72/1,679.35
  6. Step 6: Final answer
    x = 2,382.88

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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.