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Finding the Fourth Proportional to 2,296.83, 3,174.27 and 1,737.12

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Solution

The fourth proportional to 2,296.83, 3,174.27 and 1,737.12 is: 2,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.83 : 3,174.27 = 1,737.12 : x
  2. Step 2: Convert to fraction form
    2,296.83/3,174.27 = 1,737.12/x
  3. Step 3: Cross multiply
    2,296.83x = 3,174.27 × 1,737.12
  4. Step 4: Simplify right side
    2,296.83x = 5,514,087.90
  5. Step 5: Solve for x
    x = 5,514,087.90/2,296.83
  6. Step 6: Final answer
    x = 2,400.74

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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.