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Finding the Fourth Proportional to 2,408.54, 3,609.03 and 1,434.11

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Solution

The fourth proportional to 2,408.54, 3,609.03 and 1,434.11 is: 2,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.54 : 3,609.03 = 1,434.11 : x
  2. Step 2: Convert to fraction form
    2,408.54/3,609.03 = 1,434.11/x
  3. Step 3: Cross multiply
    2,408.54x = 3,609.03 × 1,434.11
  4. Step 4: Simplify right side
    2,408.54x = 5,175,746.01
  5. Step 5: Solve for x
    x = 5,175,746.01/2,408.54
  6. Step 6: Final answer
    x = 2,148.91

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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.