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Finding the Fourth Proportional to 3,134.63, 4,702.22 and 826.13

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Solution

The fourth proportional to 3,134.63, 4,702.22 and 826.13 is: 1,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.63 : 4,702.22 = 826.13 : x
  2. Step 2: Convert to fraction form
    3,134.63/4,702.22 = 826.13/x
  3. Step 3: Cross multiply
    3,134.63x = 4,702.22 × 826.13
  4. Step 4: Simplify right side
    3,134.63x = 3,884,623.56
  5. Step 5: Solve for x
    x = 3,884,623.56/3,134.63
  6. Step 6: Final answer
    x = 1,239.26

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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.