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Finding the Fourth Proportional to 3,067.52, 4,233.16 and 1,670.24

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Solution

The fourth proportional to 3,067.52, 4,233.16 and 1,670.24 is: 2,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.52 : 4,233.16 = 1,670.24 : x
  2. Step 2: Convert to fraction form
    3,067.52/4,233.16 = 1,670.24/x
  3. Step 3: Cross multiply
    3,067.52x = 4,233.16 × 1,670.24
  4. Step 4: Simplify right side
    3,067.52x = 7,070,393.16
  5. Step 5: Solve for x
    x = 7,070,393.16/3,067.52
  6. Step 6: Final answer
    x = 2,304.92

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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.