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Finding the Fourth Proportional to 3,410.94, 5,115.40 and 1,462.68

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Solution

The fourth proportional to 3,410.94, 5,115.40 and 1,462.68 is: 2,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.94 : 5,115.40 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    3,410.94/5,115.40 = 1,462.68/x
  3. Step 3: Cross multiply
    3,410.94x = 5,115.40 × 1,462.68
  4. Step 4: Simplify right side
    3,410.94x = 7,482,193.27
  5. Step 5: Solve for x
    x = 7,482,193.27/3,410.94
  6. Step 6: Final answer
    x = 2,193.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.