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Finding the Fourth Proportional to 2,047.27, 3,070.59 and 814.36

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Solution

The fourth proportional to 2,047.27, 3,070.59 and 814.36 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.27 : 3,070.59 = 814.36 : x
  2. Step 2: Convert to fraction form
    2,047.27/3,070.59 = 814.36/x
  3. Step 3: Cross multiply
    2,047.27x = 3,070.59 × 814.36
  4. Step 4: Simplify right side
    2,047.27x = 2,500,565.67
  5. Step 5: Solve for x
    x = 2,500,565.67/2,047.27
  6. Step 6: Final answer
    x = 1,221.41

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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.