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Finding the Fourth Proportional to 2,758, 4,137.54 and 1,219

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Solution

The fourth proportional to 2,758, 4,137.54 and 1,219 is: 1,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758 : 4,137.54 = 1,219 : x
  2. Step 2: Convert to fraction form
    2,758/4,137.54 = 1,219/x
  3. Step 3: Cross multiply
    2,758x = 4,137.54 × 1,219
  4. Step 4: Simplify right side
    2,758x = 5,043,661.26
  5. Step 5: Solve for x
    x = 5,043,661.26/2,758
  6. Step 6: Final answer
    x = 1,828.74

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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.