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Finding the Fourth Proportional to 1,967.67, 2,718.36 and 1,469.44

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Solution

The fourth proportional to 1,967.67, 2,718.36 and 1,469.44 is: 2,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.67 : 2,718.36 = 1,469.44 : x
  2. Step 2: Convert to fraction form
    1,967.67/2,718.36 = 1,469.44/x
  3. Step 3: Cross multiply
    1,967.67x = 2,718.36 × 1,469.44
  4. Step 4: Simplify right side
    1,967.67x = 3,994,466.92
  5. Step 5: Solve for x
    x = 3,994,466.92/1,967.67
  6. Step 6: Final answer
    x = 2,030.05

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1.5x scale

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.