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Finding the Fourth Proportional to 2,471.41, 3,408.58 and 2,099.62

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Solution

The fourth proportional to 2,471.41, 3,408.58 and 2,099.62 is: 2,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.41 : 3,408.58 = 2,099.62 : x
  2. Step 2: Convert to fraction form
    2,471.41/3,408.58 = 2,099.62/x
  3. Step 3: Cross multiply
    2,471.41x = 3,408.58 × 2,099.62
  4. Step 4: Simplify right side
    2,471.41x = 7,156,722.74
  5. Step 5: Solve for x
    x = 7,156,722.74/2,471.41
  6. Step 6: Final answer
    x = 2,895.81

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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.