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Finding the Fourth Proportional to 1,967.42, 2,718.02 and 1,469.20

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Solution

The fourth proportional to 1,967.42, 2,718.02 and 1,469.20 is: 2,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.42 : 2,718.02 = 1,469.20 : x
  2. Step 2: Convert to fraction form
    1,967.42/2,718.02 = 1,469.20/x
  3. Step 3: Cross multiply
    1,967.42x = 2,718.02 × 1,469.20
  4. Step 4: Simplify right side
    1,967.42x = 3,993,308.19
  5. Step 5: Solve for x
    x = 3,993,308.19/1,967.42
  6. Step 6: Final answer
    x = 2,029.72

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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.