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Finding the Fourth Proportional to 2,797.21, 3,860.16 and 1,538.40

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Solution

The fourth proportional to 2,797.21, 3,860.16 and 1,538.40 is: 2,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.21 : 3,860.16 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    2,797.21/3,860.16 = 1,538.40/x
  3. Step 3: Cross multiply
    2,797.21x = 3,860.16 × 1,538.40
  4. Step 4: Simplify right side
    2,797.21x = 5,938,450.84
  5. Step 5: Solve for x
    x = 5,938,450.84/2,797.21
  6. Step 6: Final answer
    x = 2,122.99

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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.