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Finding the Fourth Proportional to 3,072.56, 4,601.62 and 1,507.68

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Solution

The fourth proportional to 3,072.56, 4,601.62 and 1,507.68 is: 2,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.56 : 4,601.62 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    3,072.56/4,601.62 = 1,507.68/x
  3. Step 3: Cross multiply
    3,072.56x = 4,601.62 × 1,507.68
  4. Step 4: Simplify right side
    3,072.56x = 6,937,770.44
  5. Step 5: Solve for x
    x = 6,937,770.44/3,072.56
  6. Step 6: Final answer
    x = 2,257.98

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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.