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Finding the Fourth Proportional to 1,391.22, 2,086.02 and 741.60

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Solution

The fourth proportional to 1,391.22, 2,086.02 and 741.60 is: 1,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.22 : 2,086.02 = 741.60 : x
  2. Step 2: Convert to fraction form
    1,391.22/2,086.02 = 741.60/x
  3. Step 3: Cross multiply
    1,391.22x = 2,086.02 × 741.60
  4. Step 4: Simplify right side
    1,391.22x = 1,546,992.43
  5. Step 5: Solve for x
    x = 1,546,992.43/1,391.22
  6. Step 6: Final answer
    x = 1,111.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.