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Finding the Fourth Proportional to 2,051.25, 3,076.26 and 818.02

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Solution

The fourth proportional to 2,051.25, 3,076.26 and 818.02 is: 1,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.25 : 3,076.26 = 818.02 : x
  2. Step 2: Convert to fraction form
    2,051.25/3,076.26 = 818.02/x
  3. Step 3: Cross multiply
    2,051.25x = 3,076.26 × 818.02
  4. Step 4: Simplify right side
    2,051.25x = 2,516,442.21
  5. Step 5: Solve for x
    x = 2,516,442.21/2,051.25
  6. Step 6: Final answer
    x = 1,226.79

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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.