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Finding the Fourth Proportional to 2,616.06, 3,924.06 and 766.98

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Solution

The fourth proportional to 2,616.06, 3,924.06 and 766.98 is: 1,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.06 : 3,924.06 = 766.98 : x
  2. Step 2: Convert to fraction form
    2,616.06/3,924.06 = 766.98/x
  3. Step 3: Cross multiply
    2,616.06x = 3,924.06 × 766.98
  4. Step 4: Simplify right side
    2,616.06x = 3,009,675.54
  5. Step 5: Solve for x
    x = 3,009,675.54/2,616.06
  6. Step 6: Final answer
    x = 1,150.46

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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.