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Finding the Fourth Proportional to 1,806.76, 2,711.49 and 1,157.41

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Solution

The fourth proportional to 1,806.76, 2,711.49 and 1,157.41 is: 1,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.76 : 2,711.49 = 1,157.41 : x
  2. Step 2: Convert to fraction form
    1,806.76/2,711.49 = 1,157.41/x
  3. Step 3: Cross multiply
    1,806.76x = 2,711.49 × 1,157.41
  4. Step 4: Simplify right side
    1,806.76x = 3,138,305.64
  5. Step 5: Solve for x
    x = 3,138,305.64/1,806.76
  6. Step 6: Final answer
    x = 1,736.98

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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.