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Finding the Fourth Proportional to 2,623.96, 3,935.30 and 774.58

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Solution

The fourth proportional to 2,623.96, 3,935.30 and 774.58 is: 1,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.96 : 3,935.30 = 774.58 : x
  2. Step 2: Convert to fraction form
    2,623.96/3,935.30 = 774.58/x
  3. Step 3: Cross multiply
    2,623.96x = 3,935.30 × 774.58
  4. Step 4: Simplify right side
    2,623.96x = 3,048,200.80
  5. Step 5: Solve for x
    x = 3,048,200.80/2,623.96
  6. Step 6: Final answer
    x = 1,161.68

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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.