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Finding the Fourth Proportional to 2,443.26, 3,662.19 and 1,056.09

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Solution

The fourth proportional to 2,443.26, 3,662.19 and 1,056.09 is: 1,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.26 : 3,662.19 = 1,056.09 : x
  2. Step 2: Convert to fraction form
    2,443.26/3,662.19 = 1,056.09/x
  3. Step 3: Cross multiply
    2,443.26x = 3,662.19 × 1,056.09
  4. Step 4: Simplify right side
    2,443.26x = 3,867,602.24
  5. Step 5: Solve for x
    x = 3,867,602.24/2,443.26
  6. Step 6: Final answer
    x = 1,582.97

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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.