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Finding the Fourth Proportional to 2,933.84, 4,049.64 and 1,940

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Solution

The fourth proportional to 2,933.84, 4,049.64 and 1,940 is: 2,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.84 : 4,049.64 = 1,940 : x
  2. Step 2: Convert to fraction form
    2,933.84/4,049.64 = 1,940/x
  3. Step 3: Cross multiply
    2,933.84x = 4,049.64 × 1,940
  4. Step 4: Simplify right side
    2,933.84x = 7,856,301.60
  5. Step 5: Solve for x
    x = 7,856,301.60/2,933.84
  6. Step 6: Final answer
    x = 2,677.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.