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Finding the Fourth Proportional to 2,064.48, 3,094.20 and 1,845.78

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Solution

The fourth proportional to 2,064.48, 3,094.20 and 1,845.78 is: 2,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.48 : 3,094.20 = 1,845.78 : x
  2. Step 2: Convert to fraction form
    2,064.48/3,094.20 = 1,845.78/x
  3. Step 3: Cross multiply
    2,064.48x = 3,094.20 × 1,845.78
  4. Step 4: Simplify right side
    2,064.48x = 5,711,212.48
  5. Step 5: Solve for x
    x = 5,711,212.48/2,064.48
  6. Step 6: Final answer
    x = 2,766.42

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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.