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Finding the Fourth Proportional to 2,847.78, 4,273.57 and 1,094.23

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Solution

The fourth proportional to 2,847.78, 4,273.57 and 1,094.23 is: 1,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.78 : 4,273.57 = 1,094.23 : x
  2. Step 2: Convert to fraction form
    2,847.78/4,273.57 = 1,094.23/x
  3. Step 3: Cross multiply
    2,847.78x = 4,273.57 × 1,094.23
  4. Step 4: Simplify right side
    2,847.78x = 4,676,279.19
  5. Step 5: Solve for x
    x = 4,676,279.19/2,847.78
  6. Step 6: Final answer
    x = 1,642.08

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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.