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Finding the Fourth Proportional to 3,067.64, 4,233.26 and 1,670.36

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Solution

The fourth proportional to 3,067.64, 4,233.26 and 1,670.36 is: 2,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.64 : 4,233.26 = 1,670.36 : x
  2. Step 2: Convert to fraction form
    3,067.64/4,233.26 = 1,670.36/x
  3. Step 3: Cross multiply
    3,067.64x = 4,233.26 × 1,670.36
  4. Step 4: Simplify right side
    3,067.64x = 7,071,068.17
  5. Step 5: Solve for x
    x = 7,071,068.17/3,067.64
  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.