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Finding the Fourth Proportional to 3,194.02, 4,407.69 and 1,777.66

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Solution

The fourth proportional to 3,194.02, 4,407.69 and 1,777.66 is: 2,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.02 : 4,407.69 = 1,777.66 : x
  2. Step 2: Convert to fraction form
    3,194.02/4,407.69 = 1,777.66/x
  3. Step 3: Cross multiply
    3,194.02x = 4,407.69 × 1,777.66
  4. Step 4: Simplify right side
    3,194.02x = 7,835,374.21
  5. Step 5: Solve for x
    x = 7,835,374.21/3,194.02
  6. Step 6: Final answer
    x = 2,453.14

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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.