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Finding the Fourth Proportional to 2,204.60, 3,314.10 and 1,887.80

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Solution

The fourth proportional to 2,204.60, 3,314.10 and 1,887.80 is: 2,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.60 : 3,314.10 = 1,887.80 : x
  2. Step 2: Convert to fraction form
    2,204.60/3,314.10 = 1,887.80/x
  3. Step 3: Cross multiply
    2,204.60x = 3,314.10 × 1,887.80
  4. Step 4: Simplify right side
    2,204.60x = 6,256,357.98
  5. Step 5: Solve for x
    x = 6,256,357.98/2,204.60
  6. Step 6: Final answer
    x = 2,837.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.