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Finding the Fourth Proportional to 1,933.96, 2,897.70 and 1,354

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Solution

The fourth proportional to 1,933.96, 2,897.70 and 1,354 is: 2,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.96 : 2,897.70 = 1,354 : x
  2. Step 2: Convert to fraction form
    1,933.96/2,897.70 = 1,354/x
  3. Step 3: Cross multiply
    1,933.96x = 2,897.70 × 1,354
  4. Step 4: Simplify right side
    1,933.96x = 3,923,485.80
  5. Step 5: Solve for x
    x = 3,923,485.80/1,933.96
  6. Step 6: Final answer
    x = 2,028.73

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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.