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Finding the Fourth Proportional to 2,117.26, 3,175.33 and 884.42

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Solution

The fourth proportional to 2,117.26, 3,175.33 and 884.42 is: 1,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.26 : 3,175.33 = 884.42 : x
  2. Step 2: Convert to fraction form
    2,117.26/3,175.33 = 884.42/x
  3. Step 3: Cross multiply
    2,117.26x = 3,175.33 × 884.42
  4. Step 4: Simplify right side
    2,117.26x = 2,808,318.35
  5. Step 5: Solve for x
    x = 2,808,318.35/2,117.26
  6. Step 6: Final answer
    x = 1,326.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.