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Finding the Fourth Proportional to 2,756.26, 3,802.38 and 1,919.02

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Solution

The fourth proportional to 2,756.26, 3,802.38 and 1,919.02 is: 2,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.26 : 3,802.38 = 1,919.02 : x
  2. Step 2: Convert to fraction form
    2,756.26/3,802.38 = 1,919.02/x
  3. Step 3: Cross multiply
    2,756.26x = 3,802.38 × 1,919.02
  4. Step 4: Simplify right side
    2,756.26x = 7,296,843.27
  5. Step 5: Solve for x
    x = 7,296,843.27/2,756.26
  6. Step 6: Final answer
    x = 2,647.37

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1.5x scale

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.