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Finding the Fourth Proportional to 1,903.81, 2,855.28 and 733.43

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Solution

The fourth proportional to 1,903.81, 2,855.28 and 733.43 is: 1,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.81 : 2,855.28 = 733.43 : x
  2. Step 2: Convert to fraction form
    1,903.81/2,855.28 = 733.43/x
  3. Step 3: Cross multiply
    1,903.81x = 2,855.28 × 733.43
  4. Step 4: Simplify right side
    1,903.81x = 2,094,148.01
  5. Step 5: Solve for x
    x = 2,094,148.01/1,903.81
  6. Step 6: Final answer
    x = 1,099.98

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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.