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Finding the Fourth Proportional to 2,446.10, 3,668.21 and 1,406.87

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Solution

The fourth proportional to 2,446.10, 3,668.21 and 1,406.87 is: 2,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.10 : 3,668.21 = 1,406.87 : x
  2. Step 2: Convert to fraction form
    2,446.10/3,668.21 = 1,406.87/x
  3. Step 3: Cross multiply
    2,446.10x = 3,668.21 × 1,406.87
  4. Step 4: Simplify right side
    2,446.10x = 5,160,687.57
  5. Step 5: Solve for x
    x = 5,160,687.57/2,446.10
  6. Step 6: Final answer
    x = 2,109.76

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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.