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Finding the Fourth Proportional to 2,418.13, 3,626.53 and 857.92

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Solution

The fourth proportional to 2,418.13, 3,626.53 and 857.92 is: 1,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.13 : 3,626.53 = 857.92 : x
  2. Step 2: Convert to fraction form
    2,418.13/3,626.53 = 857.92/x
  3. Step 3: Cross multiply
    2,418.13x = 3,626.53 × 857.92
  4. Step 4: Simplify right side
    2,418.13x = 3,111,272.62
  5. Step 5: Solve for x
    x = 3,111,272.62/2,418.13
  6. Step 6: Final answer
    x = 1,286.64

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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.