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Finding the Fourth Proportional to 1,317.96, 1,827.11 and 1,247.73

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Solution

The fourth proportional to 1,317.96, 1,827.11 and 1,247.73 is: 1,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,827.11 = 1,247.73 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,827.11 = 1,247.73/x
  3. Step 3: Cross multiply
    1,317.96x = 1,827.11 × 1,247.73
  4. Step 4: Simplify right side
    1,317.96x = 2,279,733.72
  5. Step 5: Solve for x
    x = 2,279,733.72/1,317.96
  6. Step 6: Final answer
    x = 1,729.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.