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Finding the Fourth Proportional to 2,798.01, 4,195.76 and 923.31

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Solution

The fourth proportional to 2,798.01, 4,195.76 and 923.31 is: 1,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.01 : 4,195.76 = 923.31 : x
  2. Step 2: Convert to fraction form
    2,798.01/4,195.76 = 923.31/x
  3. Step 3: Cross multiply
    2,798.01x = 4,195.76 × 923.31
  4. Step 4: Simplify right side
    2,798.01x = 3,873,982.55
  5. Step 5: Solve for x
    x = 3,873,982.55/2,798.01
  6. Step 6: Final answer
    x = 1,384.55

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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.