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Finding the Fourth Proportional to 2,629.08, 3,943.89 and 780.21

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Solution

The fourth proportional to 2,629.08, 3,943.89 and 780.21 is: 1,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.08 : 3,943.89 = 780.21 : x
  2. Step 2: Convert to fraction form
    2,629.08/3,943.89 = 780.21/x
  3. Step 3: Cross multiply
    2,629.08x = 3,943.89 × 780.21
  4. Step 4: Simplify right side
    2,629.08x = 3,077,062.42
  5. Step 5: Solve for x
    x = 3,077,062.42/2,629.08
  6. Step 6: Final answer
    x = 1,170.40

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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.