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Finding the Fourth Proportional to 2,678.39, 3,696.20 and 1,616.21

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Solution

The fourth proportional to 2,678.39, 3,696.20 and 1,616.21 is: 2,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.39 : 3,696.20 = 1,616.21 : x
  2. Step 2: Convert to fraction form
    2,678.39/3,696.20 = 1,616.21/x
  3. Step 3: Cross multiply
    2,678.39x = 3,696.20 × 1,616.21
  4. Step 4: Simplify right side
    2,678.39x = 5,973,835.40
  5. Step 5: Solve for x
    x = 5,973,835.40/2,678.39
  6. Step 6: Final answer
    x = 2,230.38

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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.