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Finding the Fourth Proportional to 2,763.26, 3,812.04 and 1,926.02

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Solution

The fourth proportional to 2,763.26, 3,812.04 and 1,926.02 is: 2,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.26 : 3,812.04 = 1,926.02 : x
  2. Step 2: Convert to fraction form
    2,763.26/3,812.04 = 1,926.02/x
  3. Step 3: Cross multiply
    2,763.26x = 3,812.04 × 1,926.02
  4. Step 4: Simplify right side
    2,763.26x = 7,342,065.28
  5. Step 5: Solve for x
    x = 7,342,065.28/2,763.26
  6. Step 6: Final answer
    x = 2,657.03

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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.