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Finding the Fourth Proportional to 2,062.48, 2,846.23 and 1,589.54

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Solution

The fourth proportional to 2,062.48, 2,846.23 and 1,589.54 is: 2,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.48 : 2,846.23 = 1,589.54 : x
  2. Step 2: Convert to fraction form
    2,062.48/2,846.23 = 1,589.54/x
  3. Step 3: Cross multiply
    2,062.48x = 2,846.23 × 1,589.54
  4. Step 4: Simplify right side
    2,062.48x = 4,524,196.43
  5. Step 5: Solve for x
    x = 4,524,196.43/2,062.48
  6. Step 6: Final answer
    x = 2,193.57

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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.