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Finding the Fourth Proportional to 2,618.26, 3,614.10 and 1,834.60

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Solution

The fourth proportional to 2,618.26, 3,614.10 and 1,834.60 is: 2,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.26 : 3,614.10 = 1,834.60 : x
  2. Step 2: Convert to fraction form
    2,618.26/3,614.10 = 1,834.60/x
  3. Step 3: Cross multiply
    2,618.26x = 3,614.10 × 1,834.60
  4. Step 4: Simplify right side
    2,618.26x = 6,630,427.86
  5. Step 5: Solve for x
    x = 6,630,427.86/2,618.26
  6. Step 6: Final answer
    x = 2,532.38

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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.