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Finding the Fourth Proportional to 2,304.37, 3,456.22 and 1,134.06

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Solution

The fourth proportional to 2,304.37, 3,456.22 and 1,134.06 is: 1,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.37 : 3,456.22 = 1,134.06 : x
  2. Step 2: Convert to fraction form
    2,304.37/3,456.22 = 1,134.06/x
  3. Step 3: Cross multiply
    2,304.37x = 3,456.22 × 1,134.06
  4. Step 4: Simplify right side
    2,304.37x = 3,919,537.90
  5. Step 5: Solve for x
    x = 3,919,537.90/2,304.37
  6. Step 6: Final answer
    x = 1,700.92

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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.