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Finding the Fourth Proportional to 2,840.64, 3,911.00 and 2,778.68

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Solution

The fourth proportional to 2,840.64, 3,911.00 and 2,778.68 is: 3,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.64 : 3,911.00 = 2,778.68 : x
  2. Step 2: Convert to fraction form
    2,840.64/3,911.00 = 2,778.68/x
  3. Step 3: Cross multiply
    2,840.64x = 3,911.00 × 2,778.68
  4. Step 4: Simplify right side
    2,840.64x = 10,867,384.03
  5. Step 5: Solve for x
    x = 10,867,384.03/2,840.64
  6. Step 6: Final answer
    x = 3,825.68

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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.