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Finding the Fourth Proportional to 2,468.46, 3,405.50 and 1,419.96

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Solution

The fourth proportional to 2,468.46, 3,405.50 and 1,419.96 is: 1,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.46 : 3,405.50 = 1,419.96 : x
  2. Step 2: Convert to fraction form
    2,468.46/3,405.50 = 1,419.96/x
  3. Step 3: Cross multiply
    2,468.46x = 3,405.50 × 1,419.96
  4. Step 4: Simplify right side
    2,468.46x = 4,835,673.78
  5. Step 5: Solve for x
    x = 4,835,673.78/2,468.46
  6. Step 6: Final answer
    x = 1,958.98

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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.