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Finding the Fourth Proportional to 2,883.54, 4,328.72 and 2,427

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Solution

The fourth proportional to 2,883.54, 4,328.72 and 2,427 is: 3,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.54 : 4,328.72 = 2,427 : x
  2. Step 2: Convert to fraction form
    2,883.54/4,328.72 = 2,427/x
  3. Step 3: Cross multiply
    2,883.54x = 4,328.72 × 2,427
  4. Step 4: Simplify right side
    2,883.54x = 10,505,803.44
  5. Step 5: Solve for x
    x = 10,505,803.44/2,883.54
  6. Step 6: Final answer
    x = 3,643.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.