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Finding the Fourth Proportional to 1,929.40, 2,891.78 and 887.97

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Solution

The fourth proportional to 1,929.40, 2,891.78 and 887.97 is: 1,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.40 : 2,891.78 = 887.97 : x
  2. Step 2: Convert to fraction form
    1,929.40/2,891.78 = 887.97/x
  3. Step 3: Cross multiply
    1,929.40x = 2,891.78 × 887.97
  4. Step 4: Simplify right side
    1,929.40x = 2,567,799.43
  5. Step 5: Solve for x
    x = 2,567,799.43/1,929.40
  6. Step 6: Final answer
    x = 1,330.88

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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.