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Finding the Fourth Proportional to 2,092.96, 2,886.62 and 1,347

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Solution

The fourth proportional to 2,092.96, 2,886.62 and 1,347 is: 1,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.96 : 2,886.62 = 1,347 : x
  2. Step 2: Convert to fraction form
    2,092.96/2,886.62 = 1,347/x
  3. Step 3: Cross multiply
    2,092.96x = 2,886.62 × 1,347
  4. Step 4: Simplify right side
    2,092.96x = 3,888,277.14
  5. Step 5: Solve for x
    x = 3,888,277.14/2,092.96
  6. Step 6: Final answer
    x = 1,857.79

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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.