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Finding the Fourth Proportional to 2,276.44, 3,414.66 and 816.01

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Solution

The fourth proportional to 2,276.44, 3,414.66 and 816.01 is: 1,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.44 : 3,414.66 = 816.01 : x
  2. Step 2: Convert to fraction form
    2,276.44/3,414.66 = 816.01/x
  3. Step 3: Cross multiply
    2,276.44x = 3,414.66 × 816.01
  4. Step 4: Simplify right side
    2,276.44x = 2,786,396.71
  5. Step 5: Solve for x
    x = 2,786,396.71/2,276.44
  6. Step 6: Final answer
    x = 1,224.02

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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.