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Finding the Fourth Proportional to 2,406.74, 3,313.58 and 2,096.10

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Solution

The fourth proportional to 2,406.74, 3,313.58 and 2,096.10 is: 2,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.74 : 3,313.58 = 2,096.10 : x
  2. Step 2: Convert to fraction form
    2,406.74/3,313.58 = 2,096.10/x
  3. Step 3: Cross multiply
    2,406.74x = 3,313.58 × 2,096.10
  4. Step 4: Simplify right side
    2,406.74x = 6,945,584.56
  5. Step 5: Solve for x
    x = 6,945,584.56/2,406.74
  6. Step 6: Final answer
    x = 2,885.90

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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.