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Finding the Fourth Proportional to 2,773.14, 4,158.62 and 1,129.09

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Solution

The fourth proportional to 2,773.14, 4,158.62 and 1,129.09 is: 1,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.14 : 4,158.62 = 1,129.09 : x
  2. Step 2: Convert to fraction form
    2,773.14/4,158.62 = 1,129.09/x
  3. Step 3: Cross multiply
    2,773.14x = 4,158.62 × 1,129.09
  4. Step 4: Simplify right side
    2,773.14x = 4,695,449.07
  5. Step 5: Solve for x
    x = 4,695,449.07/2,773.14
  6. Step 6: Final answer
    x = 1,693.19

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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.