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Finding the Fourth Proportional to 2,646, 3,969.90 and 1,003

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Solution

The fourth proportional to 2,646, 3,969.90 and 1,003 is: 1,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646 : 3,969.90 = 1,003 : x
  2. Step 2: Convert to fraction form
    2,646/3,969.90 = 1,003/x
  3. Step 3: Cross multiply
    2,646x = 3,969.90 × 1,003
  4. Step 4: Simplify right side
    2,646x = 3,981,809.70
  5. Step 5: Solve for x
    x = 3,981,809.70/2,646
  6. Step 6: Final answer
    x = 1,504.84

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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.