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Finding the Fourth Proportional to 3,104.04, 4,283.54 and 1,706.76

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Solution

The fourth proportional to 3,104.04, 4,283.54 and 1,706.76 is: 2,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.04 : 4,283.54 = 1,706.76 : x
  2. Step 2: Convert to fraction form
    3,104.04/4,283.54 = 1,706.76/x
  3. Step 3: Cross multiply
    3,104.04x = 4,283.54 × 1,706.76
  4. Step 4: Simplify right side
    3,104.04x = 7,310,974.73
  5. Step 5: Solve for x
    x = 7,310,974.73/3,104.04
  6. Step 6: Final answer
    x = 2,355.31

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