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Finding the Fourth Proportional to 1,855.23, 2,782.41 and 538.63

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Solution

The fourth proportional to 1,855.23, 2,782.41 and 538.63 is: 807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.23 : 2,782.41 = 538.63 : x
  2. Step 2: Convert to fraction form
    1,855.23/2,782.41 = 538.63/x
  3. Step 3: Cross multiply
    1,855.23x = 2,782.41 × 538.63
  4. Step 4: Simplify right side
    1,855.23x = 1,498,690.96
  5. Step 5: Solve for x
    x = 1,498,690.96/1,855.23
  6. Step 6: Final answer
    x = 807.82

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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.