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Finding the Fourth Proportional to 2,737.82, 4,105.98 and 982.50

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Solution

The fourth proportional to 2,737.82, 4,105.98 and 982.50 is: 1,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.82 : 4,105.98 = 982.50 : x
  2. Step 2: Convert to fraction form
    2,737.82/4,105.98 = 982.50/x
  3. Step 3: Cross multiply
    2,737.82x = 4,105.98 × 982.50
  4. Step 4: Simplify right side
    2,737.82x = 4,034,125.35
  5. Step 5: Solve for x
    x = 4,034,125.35/2,737.82
  6. Step 6: Final answer
    x = 1,473.48

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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.