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Finding the Fourth Proportional to 1,923.17, 2,884.87 and 606.96

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Solution

The fourth proportional to 1,923.17, 2,884.87 and 606.96 is: 910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.17 : 2,884.87 = 606.96 : x
  2. Step 2: Convert to fraction form
    1,923.17/2,884.87 = 606.96/x
  3. Step 3: Cross multiply
    1,923.17x = 2,884.87 × 606.96
  4. Step 4: Simplify right side
    1,923.17x = 1,751,004.13
  5. Step 5: Solve for x
    x = 1,751,004.13/1,923.17
  6. Step 6: Final answer
    x = 910.48

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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.