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Finding the Fourth Proportional to 2,797.05, 4,196.09 and 923.05

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Solution

The fourth proportional to 2,797.05, 4,196.09 and 923.05 is: 1,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.05 : 4,196.09 = 923.05 : x
  2. Step 2: Convert to fraction form
    2,797.05/4,196.09 = 923.05/x
  3. Step 3: Cross multiply
    2,797.05x = 4,196.09 × 923.05
  4. Step 4: Simplify right side
    2,797.05x = 3,873,200.87
  5. Step 5: Solve for x
    x = 3,873,200.87/2,797.05
  6. Step 6: Final answer
    x = 1,384.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.