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Finding the Fourth Proportional to 2,774.28, 4,160.16 and 1,214.22

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Solution

The fourth proportional to 2,774.28, 4,160.16 and 1,214.22 is: 1,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.28 : 4,160.16 = 1,214.22 : x
  2. Step 2: Convert to fraction form
    2,774.28/4,160.16 = 1,214.22/x
  3. Step 3: Cross multiply
    2,774.28x = 4,160.16 × 1,214.22
  4. Step 4: Simplify right side
    2,774.28x = 5,051,349.48
  5. Step 5: Solve for x
    x = 5,051,349.48/2,774.28
  6. Step 6: Final answer
    x = 1,820.78

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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.