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Finding the Fourth Proportional to 2,233.62, 3,082.47 and 1,349.40

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Solution

The fourth proportional to 2,233.62, 3,082.47 and 1,349.40 is: 1,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.62 : 3,082.47 = 1,349.40 : x
  2. Step 2: Convert to fraction form
    2,233.62/3,082.47 = 1,349.40/x
  3. Step 3: Cross multiply
    2,233.62x = 3,082.47 × 1,349.40
  4. Step 4: Simplify right side
    2,233.62x = 4,159,485.02
  5. Step 5: Solve for x
    x = 4,159,485.02/2,233.62
  6. Step 6: Final answer
    x = 1,862.22

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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.