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Finding the Fourth Proportional to 1,208.50, 1,803.62 and 1,091.86

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Solution

The fourth proportional to 1,208.50, 1,803.62 and 1,091.86 is: 1,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.50 : 1,803.62 = 1,091.86 : x
  2. Step 2: Convert to fraction form
    1,208.50/1,803.62 = 1,091.86/x
  3. Step 3: Cross multiply
    1,208.50x = 1,803.62 × 1,091.86
  4. Step 4: Simplify right side
    1,208.50x = 1,969,300.53
  5. Step 5: Solve for x
    x = 1,969,300.53/1,208.50
  6. Step 6: Final answer
    x = 1,629.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.