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Finding the Fourth Proportional to 2,775.60, 4,163.92 and 926.54

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Solution

The fourth proportional to 2,775.60, 4,163.92 and 926.54 is: 1,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.60 : 4,163.92 = 926.54 : x
  2. Step 2: Convert to fraction form
    2,775.60/4,163.92 = 926.54/x
  3. Step 3: Cross multiply
    2,775.60x = 4,163.92 × 926.54
  4. Step 4: Simplify right side
    2,775.60x = 3,858,038.44
  5. Step 5: Solve for x
    x = 3,858,038.44/2,775.60
  6. Step 6: Final answer
    x = 1,389.98

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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.