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Finding the Fourth Proportional to 2,118.16, 3,175.60 and 884.88

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Solution

The fourth proportional to 2,118.16, 3,175.60 and 884.88 is: 1,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.16 : 3,175.60 = 884.88 : x
  2. Step 2: Convert to fraction form
    2,118.16/3,175.60 = 884.88/x
  3. Step 3: Cross multiply
    2,118.16x = 3,175.60 × 884.88
  4. Step 4: Simplify right side
    2,118.16x = 2,810,024.93
  5. Step 5: Solve for x
    x = 2,810,024.93/2,118.16
  6. Step 6: Final answer
    x = 1,326.63

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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.