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Finding the Fourth Proportional to 2,190.59, 3,023.07 and 1,195.93

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Solution

The fourth proportional to 2,190.59, 3,023.07 and 1,195.93 is: 1,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.59 : 3,023.07 = 1,195.93 : x
  2. Step 2: Convert to fraction form
    2,190.59/3,023.07 = 1,195.93/x
  3. Step 3: Cross multiply
    2,190.59x = 3,023.07 × 1,195.93
  4. Step 4: Simplify right side
    2,190.59x = 3,615,380.11
  5. Step 5: Solve for x
    x = 3,615,380.11/2,190.59
  6. Step 6: Final answer
    x = 1,650.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.