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Finding the Fourth Proportional to 2,391.97, 3,564.48 and 2,313.67

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Solution

The fourth proportional to 2,391.97, 3,564.48 and 2,313.67 is: 3,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.97 : 3,564.48 = 2,313.67 : x
  2. Step 2: Convert to fraction form
    2,391.97/3,564.48 = 2,313.67/x
  3. Step 3: Cross multiply
    2,391.97x = 3,564.48 × 2,313.67
  4. Step 4: Simplify right side
    2,391.97x = 8,247,024.66
  5. Step 5: Solve for x
    x = 8,247,024.66/2,391.97
  6. Step 6: Final answer
    x = 3,447.80

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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.