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Finding the Fourth Proportional to 3,104.69, 4,657.94 and 1,643.04

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Solution

The fourth proportional to 3,104.69, 4,657.94 and 1,643.04 is: 2,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.69 : 4,657.94 = 1,643.04 : x
  2. Step 2: Convert to fraction form
    3,104.69/4,657.94 = 1,643.04/x
  3. Step 3: Cross multiply
    3,104.69x = 4,657.94 × 1,643.04
  4. Step 4: Simplify right side
    3,104.69x = 7,653,173.52
  5. Step 5: Solve for x
    x = 7,653,173.52/3,104.69
  6. Step 6: Final answer
    x = 2,465.04

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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.