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Finding the Fourth Proportional to 2,737.11, 3,776.94 and 1,557.94

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Solution

The fourth proportional to 2,737.11, 3,776.94 and 1,557.94 is: 2,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.11 : 3,776.94 = 1,557.94 : x
  2. Step 2: Convert to fraction form
    2,737.11/3,776.94 = 1,557.94/x
  3. Step 3: Cross multiply
    2,737.11x = 3,776.94 × 1,557.94
  4. Step 4: Simplify right side
    2,737.11x = 5,884,245.90
  5. Step 5: Solve for x
    x = 5,884,245.90/2,737.11
  6. Step 6: Final answer
    x = 2,149.80

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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.