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Finding the Fourth Proportional to 1,850.44, 2,555.52 and 1,600.56

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Solution

The fourth proportional to 1,850.44, 2,555.52 and 1,600.56 is: 2,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.44 : 2,555.52 = 1,600.56 : x
  2. Step 2: Convert to fraction form
    1,850.44/2,555.52 = 1,600.56/x
  3. Step 3: Cross multiply
    1,850.44x = 2,555.52 × 1,600.56
  4. Step 4: Simplify right side
    1,850.44x = 4,090,263.09
  5. Step 5: Solve for x
    x = 4,090,263.09/1,850.44
  6. Step 6: Final answer
    x = 2,210.43

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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.