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Finding the Fourth Proportional to 2,737.85, 3,778.67 and 1,742.09

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Solution

The fourth proportional to 2,737.85, 3,778.67 and 1,742.09 is: 2,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.85 : 3,778.67 = 1,742.09 : x
  2. Step 2: Convert to fraction form
    2,737.85/3,778.67 = 1,742.09/x
  3. Step 3: Cross multiply
    2,737.85x = 3,778.67 × 1,742.09
  4. Step 4: Simplify right side
    2,737.85x = 6,582,783.22
  5. Step 5: Solve for x
    x = 6,582,783.22/2,737.85
  6. Step 6: Final answer
    x = 2,404.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.