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Finding the Fourth Proportional to 2,294.12, 3,165.70 and 1,349.95

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Solution

The fourth proportional to 2,294.12, 3,165.70 and 1,349.95 is: 1,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.12 : 3,165.70 = 1,349.95 : x
  2. Step 2: Convert to fraction form
    2,294.12/3,165.70 = 1,349.95/x
  3. Step 3: Cross multiply
    2,294.12x = 3,165.70 × 1,349.95
  4. Step 4: Simplify right side
    2,294.12x = 4,273,525.43
  5. Step 5: Solve for x
    x = 4,273,525.43/2,294.12
  6. Step 6: Final answer
    x = 1,862.81

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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.