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Finding the Fourth Proportional to 1,347.36, 2,021.92 and 481.60

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Solution

The fourth proportional to 1,347.36, 2,021.92 and 481.60 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.36 : 2,021.92 = 481.60 : x
  2. Step 2: Convert to fraction form
    1,347.36/2,021.92 = 481.60/x
  3. Step 3: Cross multiply
    1,347.36x = 2,021.92 × 481.60
  4. Step 4: Simplify right side
    1,347.36x = 973,756.67
  5. Step 5: Solve for x
    x = 973,756.67/1,347.36
  6. Step 6: Final answer
    x = 722.71

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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.