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Finding the Fourth Proportional to 2,944.88, 4,059.72 and 2,105.36

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Solution

The fourth proportional to 2,944.88, 4,059.72 and 2,105.36 is: 2,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.88 : 4,059.72 = 2,105.36 : x
  2. Step 2: Convert to fraction form
    2,944.88/4,059.72 = 2,105.36/x
  3. Step 3: Cross multiply
    2,944.88x = 4,059.72 × 2,105.36
  4. Step 4: Simplify right side
    2,944.88x = 8,547,172.10
  5. Step 5: Solve for x
    x = 8,547,172.10/2,944.88
  6. Step 6: Final answer
    x = 2,902.38

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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.