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Finding the Fourth Proportional to 2,150.72, 2,967.72 and 1,219.22

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Solution

The fourth proportional to 2,150.72, 2,967.72 and 1,219.22 is: 1,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.72 : 2,967.72 = 1,219.22 : x
  2. Step 2: Convert to fraction form
    2,150.72/2,967.72 = 1,219.22/x
  3. Step 3: Cross multiply
    2,150.72x = 2,967.72 × 1,219.22
  4. Step 4: Simplify right side
    2,150.72x = 3,618,303.58
  5. Step 5: Solve for x
    x = 3,618,303.58/2,150.72
  6. Step 6: Final answer
    x = 1,682.37

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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.