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Finding the Fourth Proportional to 2,723.66, 4,082.24 and 1,897.46

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Solution

The fourth proportional to 2,723.66, 4,082.24 and 1,897.46 is: 2,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.66 : 4,082.24 = 1,897.46 : x
  2. Step 2: Convert to fraction form
    2,723.66/4,082.24 = 1,897.46/x
  3. Step 3: Cross multiply
    2,723.66x = 4,082.24 × 1,897.46
  4. Step 4: Simplify right side
    2,723.66x = 7,745,887.11
  5. Step 5: Solve for x
    x = 7,745,887.11/2,723.66
  6. Step 6: Final answer
    x = 2,843.93

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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.