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Finding the Fourth Proportional to 3,067.59, 4,233.24 and 1,670.34

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Solution

The fourth proportional to 3,067.59, 4,233.24 and 1,670.34 is: 2,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.59 : 4,233.24 = 1,670.34 : x
  2. Step 2: Convert to fraction form
    3,067.59/4,233.24 = 1,670.34/x
  3. Step 3: Cross multiply
    3,067.59x = 4,233.24 × 1,670.34
  4. Step 4: Simplify right side
    3,067.59x = 7,070,950.10
  5. Step 5: Solve for x
    x = 7,070,950.10/3,067.59
  6. Step 6: Final answer
    x = 2,305.05

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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.