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Finding the Fourth Proportional to 1,838.51, 2,537.96 and 1,092.71

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Solution

The fourth proportional to 1,838.51, 2,537.96 and 1,092.71 is: 1,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.51 : 2,537.96 = 1,092.71 : x
  2. Step 2: Convert to fraction form
    1,838.51/2,537.96 = 1,092.71/x
  3. Step 3: Cross multiply
    1,838.51x = 2,537.96 × 1,092.71
  4. Step 4: Simplify right side
    1,838.51x = 2,773,236.12
  5. Step 5: Solve for x
    x = 2,773,236.12/1,838.51
  6. Step 6: Final answer
    x = 1,508.42

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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.