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Finding the Fourth Proportional to 2,737.26, 3,777.21 and 1,558.17

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Solution

The fourth proportional to 2,737.26, 3,777.21 and 1,558.17 is: 2,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.26 : 3,777.21 = 1,558.17 : x
  2. Step 2: Convert to fraction form
    2,737.26/3,777.21 = 1,558.17/x
  3. Step 3: Cross multiply
    2,737.26x = 3,777.21 × 1,558.17
  4. Step 4: Simplify right side
    2,737.26x = 5,885,535.31
  5. Step 5: Solve for x
    x = 5,885,535.31/2,737.26
  6. Step 6: Final answer
    x = 2,150.16

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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.