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Finding the Fourth Proportional to 2,684.69, 3,685.10 and 2,383.37

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Solution

The fourth proportional to 2,684.69, 3,685.10 and 2,383.37 is: 3,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.69 : 3,685.10 = 2,383.37 : x
  2. Step 2: Convert to fraction form
    2,684.69/3,685.10 = 2,383.37/x
  3. Step 3: Cross multiply
    2,684.69x = 3,685.10 × 2,383.37
  4. Step 4: Simplify right side
    2,684.69x = 8,782,926.44
  5. Step 5: Solve for x
    x = 8,782,926.44/2,684.69
  6. Step 6: Final answer
    x = 3,271.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.