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Finding the Fourth Proportional to 2,645.94, 3,651 and 1,467

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Solution

The fourth proportional to 2,645.94, 3,651 and 1,467 is: 2,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.94 : 3,651 = 1,467 : x
  2. Step 2: Convert to fraction form
    2,645.94/3,651 = 1,467/x
  3. Step 3: Cross multiply
    2,645.94x = 3,651 × 1,467
  4. Step 4: Simplify right side
    2,645.94x = 5,356,017
  5. Step 5: Solve for x
    x = 5,356,017/2,645.94
  6. Step 6: Final answer
    x = 2,024.24

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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.