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Finding the Fourth Proportional to 2,167.24, 3,251.64 and 706.39

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Solution

The fourth proportional to 2,167.24, 3,251.64 and 706.39 is: 1,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.24 : 3,251.64 = 706.39 : x
  2. Step 2: Convert to fraction form
    2,167.24/3,251.64 = 706.39/x
  3. Step 3: Cross multiply
    2,167.24x = 3,251.64 × 706.39
  4. Step 4: Simplify right side
    2,167.24x = 2,296,925.98
  5. Step 5: Solve for x
    x = 2,296,925.98/2,167.24
  6. Step 6: Final answer
    x = 1,059.84

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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.