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Finding the Fourth Proportional to 3,262.25, 4,500.25 and 2,065.22

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Solution

The fourth proportional to 3,262.25, 4,500.25 and 2,065.22 is: 2,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.25 : 4,500.25 = 2,065.22 : x
  2. Step 2: Convert to fraction form
    3,262.25/4,500.25 = 2,065.22/x
  3. Step 3: Cross multiply
    3,262.25x = 4,500.25 × 2,065.22
  4. Step 4: Simplify right side
    3,262.25x = 9,294,006.31
  5. Step 5: Solve for x
    x = 9,294,006.31/3,262.25
  6. Step 6: Final answer
    x = 2,848.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.