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Finding the Fourth Proportional to 3,262.70, 4,895.73 and 1,619.21

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Solution

The fourth proportional to 3,262.70, 4,895.73 and 1,619.21 is: 2,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.70 : 4,895.73 = 1,619.21 : x
  2. Step 2: Convert to fraction form
    3,262.70/4,895.73 = 1,619.21/x
  3. Step 3: Cross multiply
    3,262.70x = 4,895.73 × 1,619.21
  4. Step 4: Simplify right side
    3,262.70x = 7,927,190.49
  5. Step 5: Solve for x
    x = 7,927,190.49/3,262.70
  6. Step 6: Final answer
    x = 2,429.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.