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Finding the Fourth Proportional to 2,887.44, 4,330.24 and 1,427.60

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Solution

The fourth proportional to 2,887.44, 4,330.24 and 1,427.60 is: 2,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.44 : 4,330.24 = 1,427.60 : x
  2. Step 2: Convert to fraction form
    2,887.44/4,330.24 = 1,427.60/x
  3. Step 3: Cross multiply
    2,887.44x = 4,330.24 × 1,427.60
  4. Step 4: Simplify right side
    2,887.44x = 6,181,850.62
  5. Step 5: Solve for x
    x = 6,181,850.62/2,887.44
  6. Step 6: Final answer
    x = 2,140.95

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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.