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Finding the Fourth Proportional to 2,391.07, 3,588.26 and 930.23

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Solution

The fourth proportional to 2,391.07, 3,588.26 and 930.23 is: 1,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.07 : 3,588.26 = 930.23 : x
  2. Step 2: Convert to fraction form
    2,391.07/3,588.26 = 930.23/x
  3. Step 3: Cross multiply
    2,391.07x = 3,588.26 × 930.23
  4. Step 4: Simplify right side
    2,391.07x = 3,337,907.10
  5. Step 5: Solve for x
    x = 3,337,907.10/2,391.07
  6. Step 6: Final answer
    x = 1,395.99

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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.