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Finding the Fourth Proportional to 3,410.44, 4,707.25 and 2,085.26

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Solution

The fourth proportional to 3,410.44, 4,707.25 and 2,085.26 is: 2,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.44 : 4,707.25 = 2,085.26 : x
  2. Step 2: Convert to fraction form
    3,410.44/4,707.25 = 2,085.26/x
  3. Step 3: Cross multiply
    3,410.44x = 4,707.25 × 2,085.26
  4. Step 4: Simplify right side
    3,410.44x = 9,815,837.86
  5. Step 5: Solve for x
    x = 9,815,837.86/3,410.44
  6. Step 6: Final answer
    x = 2,878.18

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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.