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Finding the Fourth Proportional to 2,233.64, 3,082.35 and 1,349.29

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Solution

The fourth proportional to 2,233.64, 3,082.35 and 1,349.29 is: 1,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.64 : 3,082.35 = 1,349.29 : x
  2. Step 2: Convert to fraction form
    2,233.64/3,082.35 = 1,349.29/x
  3. Step 3: Cross multiply
    2,233.64x = 3,082.35 × 1,349.29
  4. Step 4: Simplify right side
    2,233.64x = 4,158,992.94
  5. Step 5: Solve for x
    x = 4,158,992.94/2,233.64
  6. Step 6: Final answer
    x = 1,861.98

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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.