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Finding the Fourth Proportional to 2,415.66, 3,617.70 and 2,067

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Solution

The fourth proportional to 2,415.66, 3,617.70 and 2,067 is: 3,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.66 : 3,617.70 = 2,067 : x
  2. Step 2: Convert to fraction form
    2,415.66/3,617.70 = 2,067/x
  3. Step 3: Cross multiply
    2,415.66x = 3,617.70 × 2,067
  4. Step 4: Simplify right side
    2,415.66x = 7,477,785.90
  5. Step 5: Solve for x
    x = 7,477,785.90/2,415.66
  6. Step 6: Final answer
    x = 3,095.55

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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.