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Finding the Fourth Proportional to 3,310.42, 4,965.65 and 1,119.17

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Solution

The fourth proportional to 3,310.42, 4,965.65 and 1,119.17 is: 1,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.42 : 4,965.65 = 1,119.17 : x
  2. Step 2: Convert to fraction form
    3,310.42/4,965.65 = 1,119.17/x
  3. Step 3: Cross multiply
    3,310.42x = 4,965.65 × 1,119.17
  4. Step 4: Simplify right side
    3,310.42x = 5,557,406.51
  5. Step 5: Solve for x
    x = 5,557,406.51/3,310.42
  6. Step 6: Final answer
    x = 1,678.76

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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.