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Finding the Fourth Proportional to 1,717.64, 2,574.94 and 827.72

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Solution

The fourth proportional to 1,717.64, 2,574.94 and 827.72 is: 1,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.64 : 2,574.94 = 827.72 : x
  2. Step 2: Convert to fraction form
    1,717.64/2,574.94 = 827.72/x
  3. Step 3: Cross multiply
    1,717.64x = 2,574.94 × 827.72
  4. Step 4: Simplify right side
    1,717.64x = 2,131,329.34
  5. Step 5: Solve for x
    x = 2,131,329.34/1,717.64
  6. Step 6: Final answer
    x = 1,240.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.