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Finding the Fourth Proportional to 2,092, 2,886.14 and 1,345.84

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Solution

The fourth proportional to 2,092, 2,886.14 and 1,345.84 is: 1,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 2,886.14 = 1,345.84 : x
  2. Step 2: Convert to fraction form
    2,092/2,886.14 = 1,345.84/x
  3. Step 3: Cross multiply
    2,092x = 2,886.14 × 1,345.84
  4. Step 4: Simplify right side
    2,092x = 3,884,282.66
  5. Step 5: Solve for x
    x = 3,884,282.66/2,092
  6. Step 6: Final answer
    x = 1,856.73

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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.