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Finding the Fourth Proportional to 2,062.25, 3,085.63 and 1,447.16

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Solution

The fourth proportional to 2,062.25, 3,085.63 and 1,447.16 is: 2,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.25 : 3,085.63 = 1,447.16 : x
  2. Step 2: Convert to fraction form
    2,062.25/3,085.63 = 1,447.16/x
  3. Step 3: Cross multiply
    2,062.25x = 3,085.63 × 1,447.16
  4. Step 4: Simplify right side
    2,062.25x = 4,465,377.65
  5. Step 5: Solve for x
    x = 4,465,377.65/2,062.25
  6. Step 6: Final answer
    x = 2,165.29

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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.