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Finding the Fourth Proportional to 2,391.27, 3,588.26 and 930.57

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Solution

The fourth proportional to 2,391.27, 3,588.26 and 930.57 is: 1,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.27 : 3,588.26 = 930.57 : x
  2. Step 2: Convert to fraction form
    2,391.27/3,588.26 = 930.57/x
  3. Step 3: Cross multiply
    2,391.27x = 3,588.26 × 930.57
  4. Step 4: Simplify right side
    2,391.27x = 3,339,122.46
  5. Step 5: Solve for x
    x = 3,339,122.46/2,391.27
  6. Step 6: Final answer
    x = 1,396.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.