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Finding the Fourth Proportional to 2,133.95, 3,195.50 and 1,786.41

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Solution

The fourth proportional to 2,133.95, 3,195.50 and 1,786.41 is: 2,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.95 : 3,195.50 = 1,786.41 : x
  2. Step 2: Convert to fraction form
    2,133.95/3,195.50 = 1,786.41/x
  3. Step 3: Cross multiply
    2,133.95x = 3,195.50 × 1,786.41
  4. Step 4: Simplify right side
    2,133.95x = 5,708,464.22
  5. Step 5: Solve for x
    x = 5,708,464.22/2,133.95
  6. Step 6: Final answer
    x = 2,675.08

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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.