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Finding the Fourth Proportional to 3,305.53, 4,953.82 and 1,223.58

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Solution

The fourth proportional to 3,305.53, 4,953.82 and 1,223.58 is: 1,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.53 : 4,953.82 = 1,223.58 : x
  2. Step 2: Convert to fraction form
    3,305.53/4,953.82 = 1,223.58/x
  3. Step 3: Cross multiply
    3,305.53x = 4,953.82 × 1,223.58
  4. Step 4: Simplify right side
    3,305.53x = 6,061,395.08
  5. Step 5: Solve for x
    x = 6,061,395.08/3,305.53
  6. Step 6: Final answer
    x = 1,833.71

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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.