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Finding the Fourth Proportional to 2,165.87, 3,244.27 and 2,010.21

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Solution

The fourth proportional to 2,165.87, 3,244.27 and 2,010.21 is: 3,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.87 : 3,244.27 = 2,010.21 : x
  2. Step 2: Convert to fraction form
    2,165.87/3,244.27 = 2,010.21/x
  3. Step 3: Cross multiply
    2,165.87x = 3,244.27 × 2,010.21
  4. Step 4: Simplify right side
    2,165.87x = 6,521,664.00
  5. Step 5: Solve for x
    x = 6,521,664.00/2,165.87
  6. Step 6: Final answer
    x = 3,011.11

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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.