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Finding the Fourth Proportional to 2,262.59, 3,388.61 and 2,200.31

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Solution

The fourth proportional to 2,262.59, 3,388.61 and 2,200.31 is: 3,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.59 : 3,388.61 = 2,200.31 : x
  2. Step 2: Convert to fraction form
    2,262.59/3,388.61 = 2,200.31/x
  3. Step 3: Cross multiply
    2,262.59x = 3,388.61 × 2,200.31
  4. Step 4: Simplify right side
    2,262.59x = 7,455,992.47
  5. Step 5: Solve for x
    x = 7,455,992.47/2,262.59
  6. Step 6: Final answer
    x = 3,295.34

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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.