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Finding the Fourth Proportional to 1,855.17, 2,782.49 and 622.49

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Solution

The fourth proportional to 1,855.17, 2,782.49 and 622.49 is: 933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.17 : 2,782.49 = 622.49 : x
  2. Step 2: Convert to fraction form
    1,855.17/2,782.49 = 622.49/x
  3. Step 3: Cross multiply
    1,855.17x = 2,782.49 × 622.49
  4. Step 4: Simplify right side
    1,855.17x = 1,732,055.18
  5. Step 5: Solve for x
    x = 1,732,055.18/1,855.17
  6. Step 6: Final answer
    x = 933.64

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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.