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Finding the Fourth Proportional to 3,078.81, 4,615.79 and 1,617.17

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Solution

The fourth proportional to 3,078.81, 4,615.79 and 1,617.17 is: 2,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.81 : 4,615.79 = 1,617.17 : x
  2. Step 2: Convert to fraction form
    3,078.81/4,615.79 = 1,617.17/x
  3. Step 3: Cross multiply
    3,078.81x = 4,615.79 × 1,617.17
  4. Step 4: Simplify right side
    3,078.81x = 7,464,485.95
  5. Step 5: Solve for x
    x = 7,464,485.95/3,078.81
  6. Step 6: Final answer
    x = 2,424.47

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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.