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Finding the Fourth Proportional to 2,190.64, 3,023.06 and 1,195.91

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Solution

The fourth proportional to 2,190.64, 3,023.06 and 1,195.91 is: 1,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.64 : 3,023.06 = 1,195.91 : x
  2. Step 2: Convert to fraction form
    2,190.64/3,023.06 = 1,195.91/x
  3. Step 3: Cross multiply
    2,190.64x = 3,023.06 × 1,195.91
  4. Step 4: Simplify right side
    2,190.64x = 3,615,307.68
  5. Step 5: Solve for x
    x = 3,615,307.68/2,190.64
  6. Step 6: Final answer
    x = 1,650.34

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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.