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Finding the Fourth Proportional to 2,707.25, 3,737.22 and 2,000.53

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Solution

The fourth proportional to 2,707.25, 3,737.22 and 2,000.53 is: 2,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.25 : 3,737.22 = 2,000.53 : x
  2. Step 2: Convert to fraction form
    2,707.25/3,737.22 = 2,000.53/x
  3. Step 3: Cross multiply
    2,707.25x = 3,737.22 × 2,000.53
  4. Step 4: Simplify right side
    2,707.25x = 7,476,420.73
  5. Step 5: Solve for x
    x = 7,476,420.73/2,707.25
  6. Step 6: Final answer
    x = 2,761.63

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1.5x scale

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.