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Finding the Fourth Proportional to 2,406.75, 3,586.19 and 2,144.74

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Solution

The fourth proportional to 2,406.75, 3,586.19 and 2,144.74 is: 3,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.75 : 3,586.19 = 2,144.74 : x
  2. Step 2: Convert to fraction form
    2,406.75/3,586.19 = 2,144.74/x
  3. Step 3: Cross multiply
    2,406.75x = 3,586.19 × 2,144.74
  4. Step 4: Simplify right side
    2,406.75x = 7,691,445.14
  5. Step 5: Solve for x
    x = 7,691,445.14/2,406.75
  6. Step 6: Final answer
    x = 3,195.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.