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Finding the Fourth Proportional to 2,737, 3,777.06 and 1,633

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Solution

The fourth proportional to 2,737, 3,777.06 and 1,633 is: 2,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737 : 3,777.06 = 1,633 : x
  2. Step 2: Convert to fraction form
    2,737/3,777.06 = 1,633/x
  3. Step 3: Cross multiply
    2,737x = 3,777.06 × 1,633
  4. Step 4: Simplify right side
    2,737x = 6,167,938.98
  5. Step 5: Solve for x
    x = 6,167,938.98/2,737
  6. Step 6: Final answer
    x = 2,253.54

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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.