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Finding the Fourth Proportional to 2,447.74, 3,668.68 and 1,408.23

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Solution

The fourth proportional to 2,447.74, 3,668.68 and 1,408.23 is: 2,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.74 : 3,668.68 = 1,408.23 : x
  2. Step 2: Convert to fraction form
    2,447.74/3,668.68 = 1,408.23/x
  3. Step 3: Cross multiply
    2,447.74x = 3,668.68 × 1,408.23
  4. Step 4: Simplify right side
    2,447.74x = 5,166,341.72
  5. Step 5: Solve for x
    x = 5,166,341.72/2,447.74
  6. Step 6: Final answer
    x = 2,110.66

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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.