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Finding the Fourth Proportional to 2,775.89, 4,164.74 and 1,314.86

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Solution

The fourth proportional to 2,775.89, 4,164.74 and 1,314.86 is: 1,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.89 : 4,164.74 = 1,314.86 : x
  2. Step 2: Convert to fraction form
    2,775.89/4,164.74 = 1,314.86/x
  3. Step 3: Cross multiply
    2,775.89x = 4,164.74 × 1,314.86
  4. Step 4: Simplify right side
    2,775.89x = 5,476,022.64
  5. Step 5: Solve for x
    x = 5,476,022.64/2,775.89
  6. Step 6: Final answer
    x = 1,972.71

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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.