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Finding the Fourth Proportional to 2,643.06, 3,965.96 and 1,918.62

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Solution

The fourth proportional to 2,643.06, 3,965.96 and 1,918.62 is: 2,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.06 : 3,965.96 = 1,918.62 : x
  2. Step 2: Convert to fraction form
    2,643.06/3,965.96 = 1,918.62/x
  3. Step 3: Cross multiply
    2,643.06x = 3,965.96 × 1,918.62
  4. Step 4: Simplify right side
    2,643.06x = 7,609,160.58
  5. Step 5: Solve for x
    x = 7,609,160.58/2,643.06
  6. Step 6: Final answer
    x = 2,878.92

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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.