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Finding the Fourth Proportional to 1,717.86, 2,576.93 and 677.79

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Solution

The fourth proportional to 1,717.86, 2,576.93 and 677.79 is: 1,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.86 : 2,576.93 = 677.79 : x
  2. Step 2: Convert to fraction form
    1,717.86/2,576.93 = 677.79/x
  3. Step 3: Cross multiply
    1,717.86x = 2,576.93 × 677.79
  4. Step 4: Simplify right side
    1,717.86x = 1,746,614.00
  5. Step 5: Solve for x
    x = 1,746,614.00/1,717.86
  6. Step 6: Final answer
    x = 1,016.74

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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.