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Finding the Fourth Proportional to 2,774.45, 4,164.46 and 1,294.69

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Solution

The fourth proportional to 2,774.45, 4,164.46 and 1,294.69 is: 1,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.45 : 4,164.46 = 1,294.69 : x
  2. Step 2: Convert to fraction form
    2,774.45/4,164.46 = 1,294.69/x
  3. Step 3: Cross multiply
    2,774.45x = 4,164.46 × 1,294.69
  4. Step 4: Simplify right side
    2,774.45x = 5,391,663.90
  5. Step 5: Solve for x
    x = 5,391,663.90/2,774.45
  6. Step 6: Final answer
    x = 1,943.33

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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.