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Finding the Fourth Proportional to 1,933.95, 2,901.94 and 1,829.39

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Solution

The fourth proportional to 1,933.95, 2,901.94 and 1,829.39 is: 2,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.95 : 2,901.94 = 1,829.39 : x
  2. Step 2: Convert to fraction form
    1,933.95/2,901.94 = 1,829.39/x
  3. Step 3: Cross multiply
    1,933.95x = 2,901.94 × 1,829.39
  4. Step 4: Simplify right side
    1,933.95x = 5,308,782.70
  5. Step 5: Solve for x
    x = 5,308,782.70/1,933.95
  6. Step 6: Final answer
    x = 2,745.05

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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.