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Finding the Fourth Proportional to 1,365.22, 1,879.29 and 1,190.26

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Solution

The fourth proportional to 1,365.22, 1,879.29 and 1,190.26 is: 1,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.22 : 1,879.29 = 1,190.26 : x
  2. Step 2: Convert to fraction form
    1,365.22/1,879.29 = 1,190.26/x
  3. Step 3: Cross multiply
    1,365.22x = 1,879.29 × 1,190.26
  4. Step 4: Simplify right side
    1,365.22x = 2,236,843.72
  5. Step 5: Solve for x
    x = 2,236,843.72/1,365.22
  6. Step 6: Final answer
    x = 1,638.45

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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.