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Finding the Fourth Proportional to 3,093.95, 4,639.50 and 1,706.82

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Solution

The fourth proportional to 3,093.95, 4,639.50 and 1,706.82 is: 2,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.95 : 4,639.50 = 1,706.82 : x
  2. Step 2: Convert to fraction form
    3,093.95/4,639.50 = 1,706.82/x
  3. Step 3: Cross multiply
    3,093.95x = 4,639.50 × 1,706.82
  4. Step 4: Simplify right side
    3,093.95x = 7,918,791.39
  5. Step 5: Solve for x
    x = 7,918,791.39/3,093.95
  6. Step 6: Final answer
    x = 2,559.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.