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Finding the Fourth Proportional to 1,923.72, 2,884.67 and 998.35

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Solution

The fourth proportional to 1,923.72, 2,884.67 and 998.35 is: 1,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.72 : 2,884.67 = 998.35 : x
  2. Step 2: Convert to fraction form
    1,923.72/2,884.67 = 998.35/x
  3. Step 3: Cross multiply
    1,923.72x = 2,884.67 × 998.35
  4. Step 4: Simplify right side
    1,923.72x = 2,879,905.30
  5. Step 5: Solve for x
    x = 2,879,905.30/1,923.72
  6. Step 6: Final answer
    x = 1,497.05

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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.