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Finding the Fourth Proportional to 3,134.76, 4,702.06 and 826.26

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Solution

The fourth proportional to 3,134.76, 4,702.06 and 826.26 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.76 : 4,702.06 = 826.26 : x
  2. Step 2: Convert to fraction form
    3,134.76/4,702.06 = 826.26/x
  3. Step 3: Cross multiply
    3,134.76x = 4,702.06 × 826.26
  4. Step 4: Simplify right side
    3,134.76x = 3,885,124.10
  5. Step 5: Solve for x
    x = 3,885,124.10/3,134.76
  6. Step 6: Final answer
    x = 1,239.37

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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.