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Finding the Fourth Proportional to 2,797.83, 3,860.91 and 1,538.91

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Solution

The fourth proportional to 2,797.83, 3,860.91 and 1,538.91 is: 2,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.83 : 3,860.91 = 1,538.91 : x
  2. Step 2: Convert to fraction form
    2,797.83/3,860.91 = 1,538.91/x
  3. Step 3: Cross multiply
    2,797.83x = 3,860.91 × 1,538.91
  4. Step 4: Simplify right side
    2,797.83x = 5,941,593.01
  5. Step 5: Solve for x
    x = 5,941,593.01/2,797.83
  6. Step 6: Final answer
    x = 2,123.64

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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.