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Finding the Fourth Proportional to 2,048.23, 3,070.52 and 814.85

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Solution

The fourth proportional to 2,048.23, 3,070.52 and 814.85 is: 1,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.23 : 3,070.52 = 814.85 : x
  2. Step 2: Convert to fraction form
    2,048.23/3,070.52 = 814.85/x
  3. Step 3: Cross multiply
    2,048.23x = 3,070.52 × 814.85
  4. Step 4: Simplify right side
    2,048.23x = 2,502,016.82
  5. Step 5: Solve for x
    x = 2,502,016.82/2,048.23
  6. Step 6: Final answer
    x = 1,221.55

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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.