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Finding the Fourth Proportional to 3,346.95, 4,615.86 and 2,020.17

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Solution

The fourth proportional to 3,346.95, 4,615.86 and 2,020.17 is: 2,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.95 : 4,615.86 = 2,020.17 : x
  2. Step 2: Convert to fraction form
    3,346.95/4,615.86 = 2,020.17/x
  3. Step 3: Cross multiply
    3,346.95x = 4,615.86 × 2,020.17
  4. Step 4: Simplify right side
    3,346.95x = 9,324,821.90
  5. Step 5: Solve for x
    x = 9,324,821.90/3,346.95
  6. Step 6: Final answer
    x = 2,786.07

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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.