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Finding the Fourth Proportional to 2,118.27, 3,175.86 and 886.03

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Solution

The fourth proportional to 2,118.27, 3,175.86 and 886.03 is: 1,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.27 : 3,175.86 = 886.03 : x
  2. Step 2: Convert to fraction form
    2,118.27/3,175.86 = 886.03/x
  3. Step 3: Cross multiply
    2,118.27x = 3,175.86 × 886.03
  4. Step 4: Simplify right side
    2,118.27x = 2,813,899.30
  5. Step 5: Solve for x
    x = 2,813,899.30/2,118.27
  6. Step 6: Final answer
    x = 1,328.40

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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.