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Finding the Fourth Proportional to 2,093, 3,139.62 and 706.40

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Solution

The fourth proportional to 2,093, 3,139.62 and 706.40 is: 1,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093 : 3,139.62 = 706.40 : x
  2. Step 2: Convert to fraction form
    2,093/3,139.62 = 706.40/x
  3. Step 3: Cross multiply
    2,093x = 3,139.62 × 706.40
  4. Step 4: Simplify right side
    2,093x = 2,217,827.57
  5. Step 5: Solve for x
    x = 2,217,827.57/2,093
  6. Step 6: Final answer
    x = 1,059.64

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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.