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Finding the Fourth Proportional to 2,774.01, 3,826.32 and 1,777.71

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Solution

The fourth proportional to 2,774.01, 3,826.32 and 1,777.71 is: 2,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.01 : 3,826.32 = 1,777.71 : x
  2. Step 2: Convert to fraction form
    2,774.01/3,826.32 = 1,777.71/x
  3. Step 3: Cross multiply
    2,774.01x = 3,826.32 × 1,777.71
  4. Step 4: Simplify right side
    2,774.01x = 6,802,087.33
  5. Step 5: Solve for x
    x = 6,802,087.33/2,774.01
  6. Step 6: Final answer
    x = 2,452.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.