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Finding the Fourth Proportional to 2,570.33, 3,854.34 and 814.83

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Solution

The fourth proportional to 2,570.33, 3,854.34 and 814.83 is: 1,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.33 : 3,854.34 = 814.83 : x
  2. Step 2: Convert to fraction form
    2,570.33/3,854.34 = 814.83/x
  3. Step 3: Cross multiply
    2,570.33x = 3,854.34 × 814.83
  4. Step 4: Simplify right side
    2,570.33x = 3,140,631.86
  5. Step 5: Solve for x
    x = 3,140,631.86/2,570.33
  6. Step 6: Final answer
    x = 1,221.88

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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.