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Finding the Fourth Proportional to 3,193.99, 4,407.66 and 1,777.73

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Solution

The fourth proportional to 3,193.99, 4,407.66 and 1,777.73 is: 2,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.99 : 4,407.66 = 1,777.73 : x
  2. Step 2: Convert to fraction form
    3,193.99/4,407.66 = 1,777.73/x
  3. Step 3: Cross multiply
    3,193.99x = 4,407.66 × 1,777.73
  4. Step 4: Simplify right side
    3,193.99x = 7,835,649.51
  5. Step 5: Solve for x
    x = 7,835,649.51/3,193.99
  6. Step 6: Final answer
    x = 2,453.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.