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Finding the Fourth Proportional to 2,047.02, 3,070.82 and 814.56

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Solution

The fourth proportional to 2,047.02, 3,070.82 and 814.56 is: 1,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.02 : 3,070.82 = 814.56 : x
  2. Step 2: Convert to fraction form
    2,047.02/3,070.82 = 814.56/x
  3. Step 3: Cross multiply
    2,047.02x = 3,070.82 × 814.56
  4. Step 4: Simplify right side
    2,047.02x = 2,501,367.14
  5. Step 5: Solve for x
    x = 2,501,367.14/2,047.02
  6. Step 6: Final answer
    x = 1,221.96

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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.