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Finding the Fourth Proportional to 2,296.08, 3,168.02 and 1,399.84

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Solution

The fourth proportional to 2,296.08, 3,168.02 and 1,399.84 is: 1,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.08 : 3,168.02 = 1,399.84 : x
  2. Step 2: Convert to fraction form
    2,296.08/3,168.02 = 1,399.84/x
  3. Step 3: Cross multiply
    2,296.08x = 3,168.02 × 1,399.84
  4. Step 4: Simplify right side
    2,296.08x = 4,434,721.12
  5. Step 5: Solve for x
    x = 4,434,721.12/2,296.08
  6. Step 6: Final answer
    x = 1,931.43

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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.