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Finding the Fourth Proportional to 1,899.69, 2,847.38 and 803.37

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Solution

The fourth proportional to 1,899.69, 2,847.38 and 803.37 is: 1,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.69 : 2,847.38 = 803.37 : x
  2. Step 2: Convert to fraction form
    1,899.69/2,847.38 = 803.37/x
  3. Step 3: Cross multiply
    1,899.69x = 2,847.38 × 803.37
  4. Step 4: Simplify right side
    1,899.69x = 2,287,495.65
  5. Step 5: Solve for x
    x = 2,287,495.65/1,899.69
  6. Step 6: Final answer
    x = 1,204.14

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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.