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Finding the Fourth Proportional to 2,810.94, 3,879.44 and 1,632.01

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Solution

The fourth proportional to 2,810.94, 3,879.44 and 1,632.01 is: 2,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.94 : 3,879.44 = 1,632.01 : x
  2. Step 2: Convert to fraction form
    2,810.94/3,879.44 = 1,632.01/x
  3. Step 3: Cross multiply
    2,810.94x = 3,879.44 × 1,632.01
  4. Step 4: Simplify right side
    2,810.94x = 6,331,294.38
  5. Step 5: Solve for x
    x = 6,331,294.38/2,810.94
  6. Step 6: Final answer
    x = 2,252.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.