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Finding the Fourth Proportional to 1,610.27, 2,415.40 and 514.73

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Solution

The fourth proportional to 1,610.27, 2,415.40 and 514.73 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.27 : 2,415.40 = 514.73 : x
  2. Step 2: Convert to fraction form
    1,610.27/2,415.40 = 514.73/x
  3. Step 3: Cross multiply
    1,610.27x = 2,415.40 × 514.73
  4. Step 4: Simplify right side
    1,610.27x = 1,243,265.48
  5. Step 5: Solve for x
    x = 1,243,265.48/1,610.27
  6. Step 6: Final answer
    x = 772.09

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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.