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Finding the Fourth Proportional to 1,717.92, 2,370.73 and 931.97

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Solution

The fourth proportional to 1,717.92, 2,370.73 and 931.97 is: 1,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.92 : 2,370.73 = 931.97 : x
  2. Step 2: Convert to fraction form
    1,717.92/2,370.73 = 931.97/x
  3. Step 3: Cross multiply
    1,717.92x = 2,370.73 × 931.97
  4. Step 4: Simplify right side
    1,717.92x = 2,209,449.24
  5. Step 5: Solve for x
    x = 2,209,449.24/1,717.92
  6. Step 6: Final answer
    x = 1,286.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.