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Finding the Fourth Proportional to 2,034.48, 2,804.22 and 1,614.06

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Solution

The fourth proportional to 2,034.48, 2,804.22 and 1,614.06 is: 2,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.48 : 2,804.22 = 1,614.06 : x
  2. Step 2: Convert to fraction form
    2,034.48/2,804.22 = 1,614.06/x
  3. Step 3: Cross multiply
    2,034.48x = 2,804.22 × 1,614.06
  4. Step 4: Simplify right side
    2,034.48x = 4,526,179.33
  5. Step 5: Solve for x
    x = 4,526,179.33/2,034.48
  6. Step 6: Final answer
    x = 2,224.74

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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.