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Finding the Fourth Proportional to 2,738.61, 3,781.00 and 1,899.05

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Solution

The fourth proportional to 2,738.61, 3,781.00 and 1,899.05 is: 2,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.61 : 3,781.00 = 1,899.05 : x
  2. Step 2: Convert to fraction form
    2,738.61/3,781.00 = 1,899.05/x
  3. Step 3: Cross multiply
    2,738.61x = 3,781.00 × 1,899.05
  4. Step 4: Simplify right side
    2,738.61x = 7,180,296.86
  5. Step 5: Solve for x
    x = 7,180,296.86/2,738.61
  6. Step 6: Final answer
    x = 2,621.88

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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.