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Finding the Fourth Proportional to 3,043.56, 4,562.64 and 1,196

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Solution

The fourth proportional to 3,043.56, 4,562.64 and 1,196 is: 1,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.56 : 4,562.64 = 1,196 : x
  2. Step 2: Convert to fraction form
    3,043.56/4,562.64 = 1,196/x
  3. Step 3: Cross multiply
    3,043.56x = 4,562.64 × 1,196
  4. Step 4: Simplify right side
    3,043.56x = 5,456,917.44
  5. Step 5: Solve for x
    x = 5,456,917.44/3,043.56
  6. Step 6: Final answer
    x = 1,792.94

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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.