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Finding the Fourth Proportional to 2,745.36, 4,116 and 1,283.64

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Solution

The fourth proportional to 2,745.36, 4,116 and 1,283.64 is: 1,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.36 : 4,116 = 1,283.64 : x
  2. Step 2: Convert to fraction form
    2,745.36/4,116 = 1,283.64/x
  3. Step 3: Cross multiply
    2,745.36x = 4,116 × 1,283.64
  4. Step 4: Simplify right side
    2,745.36x = 5,283,462.24
  5. Step 5: Solve for x
    x = 5,283,462.24/2,745.36
  6. Step 6: Final answer
    x = 1,924.51

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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.