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Finding the Fourth Proportional to 2,223.33, 3,334.52 and 836.63

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Solution

The fourth proportional to 2,223.33, 3,334.52 and 836.63 is: 1,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.33 : 3,334.52 = 836.63 : x
  2. Step 2: Convert to fraction form
    2,223.33/3,334.52 = 836.63/x
  3. Step 3: Cross multiply
    2,223.33x = 3,334.52 × 836.63
  4. Step 4: Simplify right side
    2,223.33x = 2,789,757.39
  5. Step 5: Solve for x
    x = 2,789,757.39/2,223.33
  6. Step 6: Final answer
    x = 1,254.77

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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.