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Finding the Fourth Proportional to 1,786.95, 2,680.88 and 1,443.41

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Solution

The fourth proportional to 1,786.95, 2,680.88 and 1,443.41 is: 2,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.95 : 2,680.88 = 1,443.41 : x
  2. Step 2: Convert to fraction form
    1,786.95/2,680.88 = 1,443.41/x
  3. Step 3: Cross multiply
    1,786.95x = 2,680.88 × 1,443.41
  4. Step 4: Simplify right side
    1,786.95x = 3,869,588.38
  5. Step 5: Solve for x
    x = 3,869,588.38/1,786.95
  6. Step 6: Final answer
    x = 2,165.47

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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.