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Finding the Fourth Proportional to 1,610.14, 2,221.99 and 911.58

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Solution

The fourth proportional to 1,610.14, 2,221.99 and 911.58 is: 1,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.14 : 2,221.99 = 911.58 : x
  2. Step 2: Convert to fraction form
    1,610.14/2,221.99 = 911.58/x
  3. Step 3: Cross multiply
    1,610.14x = 2,221.99 × 911.58
  4. Step 4: Simplify right side
    1,610.14x = 2,025,521.64
  5. Step 5: Solve for x
    x = 2,025,521.64/1,610.14
  6. Step 6: Final answer
    x = 1,257.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.