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Finding the Fourth Proportional to 1,884, 2,600.36 and 1,221.04

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Solution

The fourth proportional to 1,884, 2,600.36 and 1,221.04 is: 1,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884 : 2,600.36 = 1,221.04 : x
  2. Step 2: Convert to fraction form
    1,884/2,600.36 = 1,221.04/x
  3. Step 3: Cross multiply
    1,884x = 2,600.36 × 1,221.04
  4. Step 4: Simplify right side
    1,884x = 3,175,143.57
  5. Step 5: Solve for x
    x = 3,175,143.57/1,884
  6. Step 6: Final answer
    x = 1,685.32

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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.