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Finding the Fourth Proportional to 1,855.30, 2,782.50 and 622.39

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Solution

The fourth proportional to 1,855.30, 2,782.50 and 622.39 is: 933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.30 : 2,782.50 = 622.39 : x
  2. Step 2: Convert to fraction form
    1,855.30/2,782.50 = 622.39/x
  3. Step 3: Cross multiply
    1,855.30x = 2,782.50 × 622.39
  4. Step 4: Simplify right side
    1,855.30x = 1,731,800.18
  5. Step 5: Solve for x
    x = 1,731,800.18/1,855.30
  6. Step 6: Final answer
    x = 933.43

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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.