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Finding the Fourth Proportional to 2,273.34, 3,133.64 and 2,082.66

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Solution

The fourth proportional to 2,273.34, 3,133.64 and 2,082.66 is: 2,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.34 : 3,133.64 = 2,082.66 : x
  2. Step 2: Convert to fraction form
    2,273.34/3,133.64 = 2,082.66/x
  3. Step 3: Cross multiply
    2,273.34x = 3,133.64 × 2,082.66
  4. Step 4: Simplify right side
    2,273.34x = 6,526,296.27
  5. Step 5: Solve for x
    x = 6,526,296.27/2,273.34
  6. Step 6: Final answer
    x = 2,870.80

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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.