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Finding the Fourth Proportional to 2,009.21, 2,773.85 and 1,536.21

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Solution

The fourth proportional to 2,009.21, 2,773.85 and 1,536.21 is: 2,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.21 : 2,773.85 = 1,536.21 : x
  2. Step 2: Convert to fraction form
    2,009.21/2,773.85 = 1,536.21/x
  3. Step 3: Cross multiply
    2,009.21x = 2,773.85 × 1,536.21
  4. Step 4: Simplify right side
    2,009.21x = 4,261,208.43
  5. Step 5: Solve for x
    x = 4,261,208.43/2,009.21
  6. Step 6: Final answer
    x = 2,120.84

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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.