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Finding the Fourth Proportional to 1,929.05, 2,892.72 and 888.80

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Solution

The fourth proportional to 1,929.05, 2,892.72 and 888.80 is: 1,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.05 : 2,892.72 = 888.80 : x
  2. Step 2: Convert to fraction form
    1,929.05/2,892.72 = 888.80/x
  3. Step 3: Cross multiply
    1,929.05x = 2,892.72 × 888.80
  4. Step 4: Simplify right side
    1,929.05x = 2,571,049.54
  5. Step 5: Solve for x
    x = 2,571,049.54/1,929.05
  6. Step 6: Final answer
    x = 1,332.81

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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.