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Finding the Fourth Proportional to 2,338.04, 3,512.11 and 1,414.11

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Solution

The fourth proportional to 2,338.04, 3,512.11 and 1,414.11 is: 2,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.04 : 3,512.11 = 1,414.11 : x
  2. Step 2: Convert to fraction form
    2,338.04/3,512.11 = 1,414.11/x
  3. Step 3: Cross multiply
    2,338.04x = 3,512.11 × 1,414.11
  4. Step 4: Simplify right side
    2,338.04x = 4,966,502.40
  5. Step 5: Solve for x
    x = 4,966,502.40/2,338.04
  6. Step 6: Final answer
    x = 2,124.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.