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Finding the Fourth Proportional to 1,903.68, 2,855.47 and 1,442.33

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Solution

The fourth proportional to 1,903.68, 2,855.47 and 1,442.33 is: 2,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.68 : 2,855.47 = 1,442.33 : x
  2. Step 2: Convert to fraction form
    1,903.68/2,855.47 = 1,442.33/x
  3. Step 3: Cross multiply
    1,903.68x = 2,855.47 × 1,442.33
  4. Step 4: Simplify right side
    1,903.68x = 4,118,530.05
  5. Step 5: Solve for x
    x = 4,118,530.05/1,903.68
  6. Step 6: Final answer
    x = 2,163.46

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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.