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Finding the Fourth Proportional to 2,629.85, 3,943.40 and 780.71

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Solution

The fourth proportional to 2,629.85, 3,943.40 and 780.71 is: 1,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.85 : 3,943.40 = 780.71 : x
  2. Step 2: Convert to fraction form
    2,629.85/3,943.40 = 780.71/x
  3. Step 3: Cross multiply
    2,629.85x = 3,943.40 × 780.71
  4. Step 4: Simplify right side
    2,629.85x = 3,078,628.19
  5. Step 5: Solve for x
    x = 3,078,628.19/2,629.85
  6. Step 6: Final answer
    x = 1,170.65

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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.