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Finding the Fourth Proportional to 3,193.46, 4,409.88 and 2,406.14

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Solution

The fourth proportional to 3,193.46, 4,409.88 and 2,406.14 is: 3,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.46 : 4,409.88 = 2,406.14 : x
  2. Step 2: Convert to fraction form
    3,193.46/4,409.88 = 2,406.14/x
  3. Step 3: Cross multiply
    3,193.46x = 4,409.88 × 2,406.14
  4. Step 4: Simplify right side
    3,193.46x = 10,610,788.66
  5. Step 5: Solve for x
    x = 10,610,788.66/3,193.46
  6. Step 6: Final answer
    x = 3,322.66

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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.