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Finding the Fourth Proportional to 2,731.93, 3,768.93 and 1,737.75

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Solution

The fourth proportional to 2,731.93, 3,768.93 and 1,737.75 is: 2,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.93 : 3,768.93 = 1,737.75 : x
  2. Step 2: Convert to fraction form
    2,731.93/3,768.93 = 1,737.75/x
  3. Step 3: Cross multiply
    2,731.93x = 3,768.93 × 1,737.75
  4. Step 4: Simplify right side
    2,731.93x = 6,549,472.24
  5. Step 5: Solve for x
    x = 6,549,472.24/2,731.93
  6. Step 6: Final answer
    x = 2,397.38

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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.