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Finding the Fourth Proportional to 1,938.88, 2,674.36 and 1,406.84

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Solution

The fourth proportional to 1,938.88, 2,674.36 and 1,406.84 is: 1,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.88 : 2,674.36 = 1,406.84 : x
  2. Step 2: Convert to fraction form
    1,938.88/2,674.36 = 1,406.84/x
  3. Step 3: Cross multiply
    1,938.88x = 2,674.36 × 1,406.84
  4. Step 4: Simplify right side
    1,938.88x = 3,762,396.62
  5. Step 5: Solve for x
    x = 3,762,396.62/1,938.88
  6. Step 6: Final answer
    x = 1,940.50

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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.