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Finding the Fourth Proportional to 2,117.57, 3,176.42 and 656.73

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Solution

The fourth proportional to 2,117.57, 3,176.42 and 656.73 is: 985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.57 : 3,176.42 = 656.73 : x
  2. Step 2: Convert to fraction form
    2,117.57/3,176.42 = 656.73/x
  3. Step 3: Cross multiply
    2,117.57x = 3,176.42 × 656.73
  4. Step 4: Simplify right side
    2,117.57x = 2,086,050.31
  5. Step 5: Solve for x
    x = 2,086,050.31/2,117.57
  6. Step 6: Final answer
    x = 985.12

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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.