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Finding the Fourth Proportional to 2,773.42, 4,160.58 and 1,294.12

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Solution

The fourth proportional to 2,773.42, 4,160.58 and 1,294.12 is: 1,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.42 : 4,160.58 = 1,294.12 : x
  2. Step 2: Convert to fraction form
    2,773.42/4,160.58 = 1,294.12/x
  3. Step 3: Cross multiply
    2,773.42x = 4,160.58 × 1,294.12
  4. Step 4: Simplify right side
    2,773.42x = 5,384,289.79
  5. Step 5: Solve for x
    x = 5,384,289.79/2,773.42
  6. Step 6: Final answer
    x = 1,941.39

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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.