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Finding the Fourth Proportional to 2,947, 4,067.34 and 1,705.72

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Solution

The fourth proportional to 2,947, 4,067.34 and 1,705.72 is: 2,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947 : 4,067.34 = 1,705.72 : x
  2. Step 2: Convert to fraction form
    2,947/4,067.34 = 1,705.72/x
  3. Step 3: Cross multiply
    2,947x = 4,067.34 × 1,705.72
  4. Step 4: Simplify right side
    2,947x = 6,937,743.18
  5. Step 5: Solve for x
    x = 6,937,743.18/2,947
  6. Step 6: Final answer
    x = 2,354.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.