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Finding the Fourth Proportional to 2,911.42, 4,005.51 and 2,408.38

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Solution

The fourth proportional to 2,911.42, 4,005.51 and 2,408.38 is: 3,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.42 : 4,005.51 = 2,408.38 : x
  2. Step 2: Convert to fraction form
    2,911.42/4,005.51 = 2,408.38/x
  3. Step 3: Cross multiply
    2,911.42x = 4,005.51 × 2,408.38
  4. Step 4: Simplify right side
    2,911.42x = 9,646,790.17
  5. Step 5: Solve for x
    x = 9,646,790.17/2,911.42
  6. Step 6: Final answer
    x = 3,313.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.