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Finding the Fourth Proportional to 2,424.30, 3,634.02 and 779.64

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Solution

The fourth proportional to 2,424.30, 3,634.02 and 779.64 is: 1,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.30 : 3,634.02 = 779.64 : x
  2. Step 2: Convert to fraction form
    2,424.30/3,634.02 = 779.64/x
  3. Step 3: Cross multiply
    2,424.30x = 3,634.02 × 779.64
  4. Step 4: Simplify right side
    2,424.30x = 2,833,227.35
  5. Step 5: Solve for x
    x = 2,833,227.35/2,424.30
  6. Step 6: Final answer
    x = 1,168.68

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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.