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Finding the Fourth Proportional to 2,296.95, 3,174.45 and 1,737.24

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Solution

The fourth proportional to 2,296.95, 3,174.45 and 1,737.24 is: 2,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.95 : 3,174.45 = 1,737.24 : x
  2. Step 2: Convert to fraction form
    2,296.95/3,174.45 = 1,737.24/x
  3. Step 3: Cross multiply
    2,296.95x = 3,174.45 × 1,737.24
  4. Step 4: Simplify right side
    2,296.95x = 5,514,781.52
  5. Step 5: Solve for x
    x = 5,514,781.52/2,296.95
  6. Step 6: Final answer
    x = 2,400.91

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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.