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Finding the Fourth Proportional to 2,942.64, 4,418.28 and 1,214.64

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Solution

The fourth proportional to 2,942.64, 4,418.28 and 1,214.64 is: 1,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.64 : 4,418.28 = 1,214.64 : x
  2. Step 2: Convert to fraction form
    2,942.64/4,418.28 = 1,214.64/x
  3. Step 3: Cross multiply
    2,942.64x = 4,418.28 × 1,214.64
  4. Step 4: Simplify right side
    2,942.64x = 5,366,619.62
  5. Step 5: Solve for x
    x = 5,366,619.62/2,942.64
  6. Step 6: Final answer
    x = 1,823.74

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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.