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Finding the Fourth Proportional to 3,345.84, 4,616.82 and 2,019.60

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Solution

The fourth proportional to 3,345.84, 4,616.82 and 2,019.60 is: 2,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.84 : 4,616.82 = 2,019.60 : x
  2. Step 2: Convert to fraction form
    3,345.84/4,616.82 = 2,019.60/x
  3. Step 3: Cross multiply
    3,345.84x = 4,616.82 × 2,019.60
  4. Step 4: Simplify right side
    3,345.84x = 9,324,129.67
  5. Step 5: Solve for x
    x = 9,324,129.67/3,345.84
  6. Step 6: Final answer
    x = 2,786.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.