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Finding the Fourth Proportional to 2,865.21, 4,298.04 and 1,221.77

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Solution

The fourth proportional to 2,865.21, 4,298.04 and 1,221.77 is: 1,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.21 : 4,298.04 = 1,221.77 : x
  2. Step 2: Convert to fraction form
    2,865.21/4,298.04 = 1,221.77/x
  3. Step 3: Cross multiply
    2,865.21x = 4,298.04 × 1,221.77
  4. Step 4: Simplify right side
    2,865.21x = 5,251,216.33
  5. Step 5: Solve for x
    x = 5,251,216.33/2,865.21
  6. Step 6: Final answer
    x = 1,832.75

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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.