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Finding the Fourth Proportional to 2,117.27, 3,176.70 and 884.57

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Solution

The fourth proportional to 2,117.27, 3,176.70 and 884.57 is: 1,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.27 : 3,176.70 = 884.57 : x
  2. Step 2: Convert to fraction form
    2,117.27/3,176.70 = 884.57/x
  3. Step 3: Cross multiply
    2,117.27x = 3,176.70 × 884.57
  4. Step 4: Simplify right side
    2,117.27x = 2,809,997.64
  5. Step 5: Solve for x
    x = 2,809,997.64/2,117.27
  6. Step 6: Final answer
    x = 1,327.18

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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.