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Finding the Fourth Proportional to 2,443.58, 3,665.94 and 800.26

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Solution

The fourth proportional to 2,443.58, 3,665.94 and 800.26 is: 1,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.58 : 3,665.94 = 800.26 : x
  2. Step 2: Convert to fraction form
    2,443.58/3,665.94 = 800.26/x
  3. Step 3: Cross multiply
    2,443.58x = 3,665.94 × 800.26
  4. Step 4: Simplify right side
    2,443.58x = 2,933,705.14
  5. Step 5: Solve for x
    x = 2,933,705.14/2,443.58
  6. Step 6: Final answer
    x = 1,200.58

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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.