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Finding the Fourth Proportional to 2,134.36, 3,201.18 and 595

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Solution

The fourth proportional to 2,134.36, 3,201.18 and 595 is: 892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.36 : 3,201.18 = 595 : x
  2. Step 2: Convert to fraction form
    2,134.36/3,201.18 = 595/x
  3. Step 3: Cross multiply
    2,134.36x = 3,201.18 × 595
  4. Step 4: Simplify right side
    2,134.36x = 1,904,702.10
  5. Step 5: Solve for x
    x = 1,904,702.10/2,134.36
  6. Step 6: Final answer
    x = 892.40

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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.