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Finding the Fourth Proportional to 2,548.78, 3,825.60 and 1,576.78

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Solution

The fourth proportional to 2,548.78, 3,825.60 and 1,576.78 is: 2,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.78 : 3,825.60 = 1,576.78 : x
  2. Step 2: Convert to fraction form
    2,548.78/3,825.60 = 1,576.78/x
  3. Step 3: Cross multiply
    2,548.78x = 3,825.60 × 1,576.78
  4. Step 4: Simplify right side
    2,548.78x = 6,032,129.57
  5. Step 5: Solve for x
    x = 6,032,129.57/2,548.78
  6. Step 6: Final answer
    x = 2,366.67

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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.