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Finding the Fourth Proportional to 2,094.52, 3,141.78 and 862.06

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Solution

The fourth proportional to 2,094.52, 3,141.78 and 862.06 is: 1,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.52 : 3,141.78 = 862.06 : x
  2. Step 2: Convert to fraction form
    2,094.52/3,141.78 = 862.06/x
  3. Step 3: Cross multiply
    2,094.52x = 3,141.78 × 862.06
  4. Step 4: Simplify right side
    2,094.52x = 2,708,402.87
  5. Step 5: Solve for x
    x = 2,708,402.87/2,094.52
  6. Step 6: Final answer
    x = 1,293.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.