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Finding the Fourth Proportional to 2,483.44, 3,427.09 and 1,364.38

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Solution

The fourth proportional to 2,483.44, 3,427.09 and 1,364.38 is: 1,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.44 : 3,427.09 = 1,364.38 : x
  2. Step 2: Convert to fraction form
    2,483.44/3,427.09 = 1,364.38/x
  3. Step 3: Cross multiply
    2,483.44x = 3,427.09 × 1,364.38
  4. Step 4: Simplify right side
    2,483.44x = 4,675,848.75
  5. Step 5: Solve for x
    x = 4,675,848.75/2,483.44
  6. Step 6: Final answer
    x = 1,882.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.