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Finding the Fourth Proportional to 2,737.02, 3,778.65 and 1,808.22

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Solution

The fourth proportional to 2,737.02, 3,778.65 and 1,808.22 is: 2,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.02 : 3,778.65 = 1,808.22 : x
  2. Step 2: Convert to fraction form
    2,737.02/3,778.65 = 1,808.22/x
  3. Step 3: Cross multiply
    2,737.02x = 3,778.65 × 1,808.22
  4. Step 4: Simplify right side
    2,737.02x = 6,832,630.50
  5. Step 5: Solve for x
    x = 6,832,630.50/2,737.02
  6. Step 6: Final answer
    x = 2,496.38

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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.