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Finding the Fourth Proportional to 1,812.87, 2,721.83 and 1,200.51

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Solution

The fourth proportional to 1,812.87, 2,721.83 and 1,200.51 is: 1,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.87 : 2,721.83 = 1,200.51 : x
  2. Step 2: Convert to fraction form
    1,812.87/2,721.83 = 1,200.51/x
  3. Step 3: Cross multiply
    1,812.87x = 2,721.83 × 1,200.51
  4. Step 4: Simplify right side
    1,812.87x = 3,267,578.13
  5. Step 5: Solve for x
    x = 3,267,578.13/1,812.87
  6. Step 6: Final answer
    x = 1,802.43

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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.