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Finding the Fourth Proportional to 2,042.21, 3,060.48 and 808.89

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Solution

The fourth proportional to 2,042.21, 3,060.48 and 808.89 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.21 : 3,060.48 = 808.89 : x
  2. Step 2: Convert to fraction form
    2,042.21/3,060.48 = 808.89/x
  3. Step 3: Cross multiply
    2,042.21x = 3,060.48 × 808.89
  4. Step 4: Simplify right side
    2,042.21x = 2,475,583.22
  5. Step 5: Solve for x
    x = 2,475,583.22/2,042.21
  6. Step 6: Final answer
    x = 1,212.21

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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.