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Finding the Fourth Proportional to 3,193.46, 4,407.84 and 2,074.34

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Solution

The fourth proportional to 3,193.46, 4,407.84 and 2,074.34 is: 2,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.46 : 4,407.84 = 2,074.34 : x
  2. Step 2: Convert to fraction form
    3,193.46/4,407.84 = 2,074.34/x
  3. Step 3: Cross multiply
    3,193.46x = 4,407.84 × 2,074.34
  4. Step 4: Simplify right side
    3,193.46x = 9,143,336.79
  5. Step 5: Solve for x
    x = 9,143,336.79/3,193.46
  6. Step 6: Final answer
    x = 2,863.15

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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.