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Finding the Fourth Proportional to 3,202.14, 4,804.65 and 1,740.78

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Solution

The fourth proportional to 3,202.14, 4,804.65 and 1,740.78 is: 2,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.14 : 4,804.65 = 1,740.78 : x
  2. Step 2: Convert to fraction form
    3,202.14/4,804.65 = 1,740.78/x
  3. Step 3: Cross multiply
    3,202.14x = 4,804.65 × 1,740.78
  4. Step 4: Simplify right side
    3,202.14x = 8,363,838.63
  5. Step 5: Solve for x
    x = 8,363,838.63/3,202.14
  6. Step 6: Final answer
    x = 2,611.95

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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.