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Finding the Fourth Proportional to 2,774.08, 3,829.44 and 1,840.96

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Solution

The fourth proportional to 2,774.08, 3,829.44 and 1,840.96 is: 2,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.08 : 3,829.44 = 1,840.96 : x
  2. Step 2: Convert to fraction form
    2,774.08/3,829.44 = 1,840.96/x
  3. Step 3: Cross multiply
    2,774.08x = 3,829.44 × 1,840.96
  4. Step 4: Simplify right side
    2,774.08x = 7,049,845.86
  5. Step 5: Solve for x
    x = 7,049,845.86/2,774.08
  6. Step 6: Final answer
    x = 2,541.33

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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.