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Finding the Fourth Proportional to 2,773.14, 4,159.96 and 1,212.68

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Solution

The fourth proportional to 2,773.14, 4,159.96 and 1,212.68 is: 1,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.14 : 4,159.96 = 1,212.68 : x
  2. Step 2: Convert to fraction form
    2,773.14/4,159.96 = 1,212.68/x
  3. Step 3: Cross multiply
    2,773.14x = 4,159.96 × 1,212.68
  4. Step 4: Simplify right side
    2,773.14x = 5,044,700.29
  5. Step 5: Solve for x
    x = 5,044,700.29/2,773.14
  6. Step 6: Final answer
    x = 1,819.13

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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.