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Finding the Fourth Proportional to 2,117.27, 3,175.39 and 884.70

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Solution

The fourth proportional to 2,117.27, 3,175.39 and 884.70 is: 1,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.27 : 3,175.39 = 884.70 : x
  2. Step 2: Convert to fraction form
    2,117.27/3,175.39 = 884.70/x
  3. Step 3: Cross multiply
    2,117.27x = 3,175.39 × 884.70
  4. Step 4: Simplify right side
    2,117.27x = 2,809,267.53
  5. Step 5: Solve for x
    x = 2,809,267.53/2,117.27
  6. Step 6: Final answer
    x = 1,326.83

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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.