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Finding the Fourth Proportional to 1,365.26, 2,048.22 and 391.37

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Solution

The fourth proportional to 1,365.26, 2,048.22 and 391.37 is: 587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.26 : 2,048.22 = 391.37 : x
  2. Step 2: Convert to fraction form
    1,365.26/2,048.22 = 391.37/x
  3. Step 3: Cross multiply
    1,365.26x = 2,048.22 × 391.37
  4. Step 4: Simplify right side
    1,365.26x = 801,601.62
  5. Step 5: Solve for x
    x = 801,601.62/1,365.26
  6. Step 6: Final answer
    x = 587.14

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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.