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Finding the Fourth Proportional to 2,236.25, 3,354.26 and 849.47

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Solution

The fourth proportional to 2,236.25, 3,354.26 and 849.47 is: 1,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.25 : 3,354.26 = 849.47 : x
  2. Step 2: Convert to fraction form
    2,236.25/3,354.26 = 849.47/x
  3. Step 3: Cross multiply
    2,236.25x = 3,354.26 × 849.47
  4. Step 4: Simplify right side
    2,236.25x = 2,849,360.04
  5. Step 5: Solve for x
    x = 2,849,360.04/2,236.25
  6. Step 6: Final answer
    x = 1,274.17

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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.