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Finding the Fourth Proportional to 1,204.67, 1,806.71 and 1,192.22

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Solution

The fourth proportional to 1,204.67, 1,806.71 and 1,192.22 is: 1,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.67 : 1,806.71 = 1,192.22 : x
  2. Step 2: Convert to fraction form
    1,204.67/1,806.71 = 1,192.22/x
  3. Step 3: Cross multiply
    1,204.67x = 1,806.71 × 1,192.22
  4. Step 4: Simplify right side
    1,204.67x = 2,153,987.58
  5. Step 5: Solve for x
    x = 2,153,987.58/1,204.67
  6. Step 6: Final answer
    x = 1,788.03

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1.5x scale

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.