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Finding the Fourth Proportional to 1,898.69, 2,846.67 and 727.70

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Solution

The fourth proportional to 1,898.69, 2,846.67 and 727.70 is: 1,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.69 : 2,846.67 = 727.70 : x
  2. Step 2: Convert to fraction form
    1,898.69/2,846.67 = 727.70/x
  3. Step 3: Cross multiply
    1,898.69x = 2,846.67 × 727.70
  4. Step 4: Simplify right side
    1,898.69x = 2,071,507.53
  5. Step 5: Solve for x
    x = 2,071,507.53/1,898.69
  6. Step 6: Final answer
    x = 1,091.02

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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.