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Finding the Fourth Proportional to 2,062.44, 2,846.20 and 1,118.25

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Solution

The fourth proportional to 2,062.44, 2,846.20 and 1,118.25 is: 1,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.44 : 2,846.20 = 1,118.25 : x
  2. Step 2: Convert to fraction form
    2,062.44/2,846.20 = 1,118.25/x
  3. Step 3: Cross multiply
    2,062.44x = 2,846.20 × 1,118.25
  4. Step 4: Simplify right side
    2,062.44x = 3,182,763.15
  5. Step 5: Solve for x
    x = 3,182,763.15/2,062.44
  6. Step 6: Final answer
    x = 1,543.20

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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.