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Finding the Fourth Proportional to 2,623.05, 3,934.78 and 774.12

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Solution

The fourth proportional to 2,623.05, 3,934.78 and 774.12 is: 1,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.05 : 3,934.78 = 774.12 : x
  2. Step 2: Convert to fraction form
    2,623.05/3,934.78 = 774.12/x
  3. Step 3: Cross multiply
    2,623.05x = 3,934.78 × 774.12
  4. Step 4: Simplify right side
    2,623.05x = 3,046,004.71
  5. Step 5: Solve for x
    x = 3,046,004.71/2,623.05
  6. Step 6: Final answer
    x = 1,161.25

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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.