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Finding the Fourth Proportional to 2,937.82, 4,401.04 and 1,827.68

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Solution

The fourth proportional to 2,937.82, 4,401.04 and 1,827.68 is: 2,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.82 : 4,401.04 = 1,827.68 : x
  2. Step 2: Convert to fraction form
    2,937.82/4,401.04 = 1,827.68/x
  3. Step 3: Cross multiply
    2,937.82x = 4,401.04 × 1,827.68
  4. Step 4: Simplify right side
    2,937.82x = 8,043,680.97
  5. Step 5: Solve for x
    x = 8,043,680.97/2,937.82
  6. Step 6: Final answer
    x = 2,737.97

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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.