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Finding the Fourth Proportional to 1,195.62, 1,794.93 and 1,140.22

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Solution

The fourth proportional to 1,195.62, 1,794.93 and 1,140.22 is: 1,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.62 : 1,794.93 = 1,140.22 : x
  2. Step 2: Convert to fraction form
    1,195.62/1,794.93 = 1,140.22/x
  3. Step 3: Cross multiply
    1,195.62x = 1,794.93 × 1,140.22
  4. Step 4: Simplify right side
    1,195.62x = 2,046,615.08
  5. Step 5: Solve for x
    x = 2,046,615.08/1,195.62
  6. Step 6: Final answer
    x = 1,711.76

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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.