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Finding the Fourth Proportional to 1,372.72, 1,893.09 and 1,214.77

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Solution

The fourth proportional to 1,372.72, 1,893.09 and 1,214.77 is: 1,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.72 : 1,893.09 = 1,214.77 : x
  2. Step 2: Convert to fraction form
    1,372.72/1,893.09 = 1,214.77/x
  3. Step 3: Cross multiply
    1,372.72x = 1,893.09 × 1,214.77
  4. Step 4: Simplify right side
    1,372.72x = 2,299,668.94
  5. Step 5: Solve for x
    x = 2,299,668.94/1,372.72
  6. Step 6: Final answer
    x = 1,675.26

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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.