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Finding the Fourth Proportional to 1,818.24, 2,727.99 and 845.07

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Solution

The fourth proportional to 1,818.24, 2,727.99 and 845.07 is: 1,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.24 : 2,727.99 = 845.07 : x
  2. Step 2: Convert to fraction form
    1,818.24/2,727.99 = 845.07/x
  3. Step 3: Cross multiply
    1,818.24x = 2,727.99 × 845.07
  4. Step 4: Simplify right side
    1,818.24x = 2,305,342.51
  5. Step 5: Solve for x
    x = 2,305,342.51/1,818.24
  6. Step 6: Final answer
    x = 1,267.90

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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.