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Finding the Fourth Proportional to 3,104, 4,283.64 and 1,706.72

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Solution

The fourth proportional to 3,104, 4,283.64 and 1,706.72 is: 2,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104 : 4,283.64 = 1,706.72 : x
  2. Step 2: Convert to fraction form
    3,104/4,283.64 = 1,706.72/x
  3. Step 3: Cross multiply
    3,104x = 4,283.64 × 1,706.72
  4. Step 4: Simplify right side
    3,104x = 7,310,974.06
  5. Step 5: Solve for x
    x = 7,310,974.06/3,104
  6. Step 6: Final answer
    x = 2,355.34

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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.