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Finding the Fourth Proportional to 3,454.04, 4,766.63 and 1,962

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Solution

The fourth proportional to 3,454.04, 4,766.63 and 1,962 is: 2,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.04 : 4,766.63 = 1,962 : x
  2. Step 2: Convert to fraction form
    3,454.04/4,766.63 = 1,962/x
  3. Step 3: Cross multiply
    3,454.04x = 4,766.63 × 1,962
  4. Step 4: Simplify right side
    3,454.04x = 9,352,128.06
  5. Step 5: Solve for x
    x = 9,352,128.06/3,454.04
  6. Step 6: Final answer
    x = 2,707.59

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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.