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Finding the Fourth Proportional to 1,855.12, 2,764.82 and 1,852.24

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Solution

The fourth proportional to 1,855.12, 2,764.82 and 1,852.24 is: 2,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.12 : 2,764.82 = 1,852.24 : x
  2. Step 2: Convert to fraction form
    1,855.12/2,764.82 = 1,852.24/x
  3. Step 3: Cross multiply
    1,855.12x = 2,764.82 × 1,852.24
  4. Step 4: Simplify right side
    1,855.12x = 5,121,110.20
  5. Step 5: Solve for x
    x = 5,121,110.20/1,855.12
  6. Step 6: Final answer
    x = 2,760.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.