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Finding the Fourth Proportional to 2,294.02, 3,165.73 and 1,299.49

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Solution

The fourth proportional to 2,294.02, 3,165.73 and 1,299.49 is: 1,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.02 : 3,165.73 = 1,299.49 : x
  2. Step 2: Convert to fraction form
    2,294.02/3,165.73 = 1,299.49/x
  3. Step 3: Cross multiply
    2,294.02x = 3,165.73 × 1,299.49
  4. Step 4: Simplify right side
    2,294.02x = 4,113,848.43
  5. Step 5: Solve for x
    x = 4,113,848.43/2,294.02
  6. Step 6: Final answer
    x = 1,793.29

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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.