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Finding the Fourth Proportional to 3,194.31, 4,407.18 and 1,999.50

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Solution

The fourth proportional to 3,194.31, 4,407.18 and 1,999.50 is: 2,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.31 : 4,407.18 = 1,999.50 : x
  2. Step 2: Convert to fraction form
    3,194.31/4,407.18 = 1,999.50/x
  3. Step 3: Cross multiply
    3,194.31x = 4,407.18 × 1,999.50
  4. Step 4: Simplify right side
    3,194.31x = 8,812,156.41
  5. Step 5: Solve for x
    x = 8,812,156.41/3,194.31
  6. Step 6: Final answer
    x = 2,758.70

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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.