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Finding the Fourth Proportional to 1,794.04, 2,475.83 and 997.40

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Solution

The fourth proportional to 1,794.04, 2,475.83 and 997.40 is: 1,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.04 : 2,475.83 = 997.40 : x
  2. Step 2: Convert to fraction form
    1,794.04/2,475.83 = 997.40/x
  3. Step 3: Cross multiply
    1,794.04x = 2,475.83 × 997.40
  4. Step 4: Simplify right side
    1,794.04x = 2,469,392.84
  5. Step 5: Solve for x
    x = 2,469,392.84/1,794.04
  6. Step 6: Final answer
    x = 1,376.44

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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.