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Finding the Fourth Proportional to 1,924.77, 2,884.83 and 883.33

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Solution

The fourth proportional to 1,924.77, 2,884.83 and 883.33 is: 1,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.77 : 2,884.83 = 883.33 : x
  2. Step 2: Convert to fraction form
    1,924.77/2,884.83 = 883.33/x
  3. Step 3: Cross multiply
    1,924.77x = 2,884.83 × 883.33
  4. Step 4: Simplify right side
    1,924.77x = 2,548,246.36
  5. Step 5: Solve for x
    x = 2,548,246.36/1,924.77
  6. Step 6: Final answer
    x = 1,323.92

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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.