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Finding the Fourth Proportional to 2,150.44, 2,967.90 and 1,219

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Solution

The fourth proportional to 2,150.44, 2,967.90 and 1,219 is: 1,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.44 : 2,967.90 = 1,219 : x
  2. Step 2: Convert to fraction form
    2,150.44/2,967.90 = 1,219/x
  3. Step 3: Cross multiply
    2,150.44x = 2,967.90 × 1,219
  4. Step 4: Simplify right side
    2,150.44x = 3,617,870.10
  5. Step 5: Solve for x
    x = 3,617,870.10/2,150.44
  6. Step 6: Final answer
    x = 1,682.39

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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.