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Finding the Fourth Proportional to 2,629.29, 3,943.64 and 780.22

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Solution

The fourth proportional to 2,629.29, 3,943.64 and 780.22 is: 1,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.29 : 3,943.64 = 780.22 : x
  2. Step 2: Convert to fraction form
    2,629.29/3,943.64 = 780.22/x
  3. Step 3: Cross multiply
    2,629.29x = 3,943.64 × 780.22
  4. Step 4: Simplify right side
    2,629.29x = 3,076,887.11
  5. Step 5: Solve for x
    x = 3,076,887.11/2,629.29
  6. Step 6: Final answer
    x = 1,170.23

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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.