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Finding the Fourth Proportional to 1,923.14, 2,884.68 and 606.83

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Solution

The fourth proportional to 1,923.14, 2,884.68 and 606.83 is: 910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.14 : 2,884.68 = 606.83 : x
  2. Step 2: Convert to fraction form
    1,923.14/2,884.68 = 606.83/x
  3. Step 3: Cross multiply
    1,923.14x = 2,884.68 × 606.83
  4. Step 4: Simplify right side
    1,923.14x = 1,750,495.94
  5. Step 5: Solve for x
    x = 1,750,495.94/1,923.14
  6. Step 6: Final answer
    x = 910.23

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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.