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Finding the Fourth Proportional to 2,174.58, 3,266.73 and 1,882.98

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Solution

The fourth proportional to 2,174.58, 3,266.73 and 1,882.98 is: 2,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.58 : 3,266.73 = 1,882.98 : x
  2. Step 2: Convert to fraction form
    2,174.58/3,266.73 = 1,882.98/x
  3. Step 3: Cross multiply
    2,174.58x = 3,266.73 × 1,882.98
  4. Step 4: Simplify right side
    2,174.58x = 6,151,187.26
  5. Step 5: Solve for x
    x = 6,151,187.26/2,174.58
  6. Step 6: Final answer
    x = 2,828.68

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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.