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Finding the Fourth Proportional to 1,852.30, 2,770.23 and 1,408.52

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Solution

The fourth proportional to 1,852.30, 2,770.23 and 1,408.52 is: 2,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.30 : 2,770.23 = 1,408.52 : x
  2. Step 2: Convert to fraction form
    1,852.30/2,770.23 = 1,408.52/x
  3. Step 3: Cross multiply
    1,852.30x = 2,770.23 × 1,408.52
  4. Step 4: Simplify right side
    1,852.30x = 3,901,936.57
  5. Step 5: Solve for x
    x = 3,901,936.57/1,852.30
  6. Step 6: Final answer
    x = 2,106.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.