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Finding the Fourth Proportional to 2,794.68, 3,848.04 and 2,321.64

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Solution

The fourth proportional to 2,794.68, 3,848.04 and 2,321.64 is: 3,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.68 : 3,848.04 = 2,321.64 : x
  2. Step 2: Convert to fraction form
    2,794.68/3,848.04 = 2,321.64/x
  3. Step 3: Cross multiply
    2,794.68x = 3,848.04 × 2,321.64
  4. Step 4: Simplify right side
    2,794.68x = 8,933,763.59
  5. Step 5: Solve for x
    x = 8,933,763.59/2,794.68
  6. Step 6: Final answer
    x = 3,196.70

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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.