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Finding the Fourth Proportional to 1,903.42, 2,855.40 and 863.41

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Solution

The fourth proportional to 1,903.42, 2,855.40 and 863.41 is: 1,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.42 : 2,855.40 = 863.41 : x
  2. Step 2: Convert to fraction form
    1,903.42/2,855.40 = 863.41/x
  3. Step 3: Cross multiply
    1,903.42x = 2,855.40 × 863.41
  4. Step 4: Simplify right side
    1,903.42x = 2,465,380.91
  5. Step 5: Solve for x
    x = 2,465,380.91/1,903.42
  6. Step 6: Final answer
    x = 1,295.24

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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.