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Finding the Fourth Proportional to 3,084.81, 4,627.29 and 1,442.54

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Solution

The fourth proportional to 3,084.81, 4,627.29 and 1,442.54 is: 2,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.81 : 4,627.29 = 1,442.54 : x
  2. Step 2: Convert to fraction form
    3,084.81/4,627.29 = 1,442.54/x
  3. Step 3: Cross multiply
    3,084.81x = 4,627.29 × 1,442.54
  4. Step 4: Simplify right side
    3,084.81x = 6,675,027.78
  5. Step 5: Solve for x
    x = 6,675,027.78/3,084.81
  6. Step 6: Final answer
    x = 2,163.84

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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.