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Finding the Fourth Proportional to 1,874.67, 2,586.12 and 1,212.09

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Solution

The fourth proportional to 1,874.67, 2,586.12 and 1,212.09 is: 1,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.67 : 2,586.12 = 1,212.09 : x
  2. Step 2: Convert to fraction form
    1,874.67/2,586.12 = 1,212.09/x
  3. Step 3: Cross multiply
    1,874.67x = 2,586.12 × 1,212.09
  4. Step 4: Simplify right side
    1,874.67x = 3,134,591.20
  5. Step 5: Solve for x
    x = 3,134,591.20/1,874.67
  6. Step 6: Final answer
    x = 1,672.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.