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Finding the Fourth Proportional to 2,369.25, 3,537.47 and 2,092.23

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Solution

The fourth proportional to 2,369.25, 3,537.47 and 2,092.23 is: 3,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.25 : 3,537.47 = 2,092.23 : x
  2. Step 2: Convert to fraction form
    2,369.25/3,537.47 = 2,092.23/x
  3. Step 3: Cross multiply
    2,369.25x = 3,537.47 × 2,092.23
  4. Step 4: Simplify right side
    2,369.25x = 7,401,206.09
  5. Step 5: Solve for x
    x = 7,401,206.09/2,369.25
  6. Step 6: Final answer
    x = 3,123.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.