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Finding the Fourth Proportional to 1,696.83, 2,339.20 and 1,247.91

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Solution

The fourth proportional to 1,696.83, 2,339.20 and 1,247.91 is: 1,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.83 : 2,339.20 = 1,247.91 : x
  2. Step 2: Convert to fraction form
    1,696.83/2,339.20 = 1,247.91/x
  3. Step 3: Cross multiply
    1,696.83x = 2,339.20 × 1,247.91
  4. Step 4: Simplify right side
    1,696.83x = 2,919,103.86
  5. Step 5: Solve for x
    x = 2,919,103.86/1,696.83
  6. Step 6: Final answer
    x = 1,720.33

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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.