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Finding the Fourth Proportional to 2,102.26, 2,898.97 and 1,804.52

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Solution

The fourth proportional to 2,102.26, 2,898.97 and 1,804.52 is: 2,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.26 : 2,898.97 = 1,804.52 : x
  2. Step 2: Convert to fraction form
    2,102.26/2,898.97 = 1,804.52/x
  3. Step 3: Cross multiply
    2,102.26x = 2,898.97 × 1,804.52
  4. Step 4: Simplify right side
    2,102.26x = 5,231,249.34
  5. Step 5: Solve for x
    x = 5,231,249.34/2,102.26
  6. Step 6: Final answer
    x = 2,488.39

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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.