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Finding the Fourth Proportional to 1,920.44, 2,881.79 and 809.79

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Solution

The fourth proportional to 1,920.44, 2,881.79 and 809.79 is: 1,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.44 : 2,881.79 = 809.79 : x
  2. Step 2: Convert to fraction form
    1,920.44/2,881.79 = 809.79/x
  3. Step 3: Cross multiply
    1,920.44x = 2,881.79 × 809.79
  4. Step 4: Simplify right side
    1,920.44x = 2,333,646.08
  5. Step 5: Solve for x
    x = 2,333,646.08/1,920.44
  6. Step 6: Final answer
    x = 1,215.16

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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.