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Finding the Fourth Proportional to 4,694.51, 7,044.50 and 1,920.77

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Solution

The fourth proportional to 4,694.51, 7,044.50 and 1,920.77 is: 2,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.51 : 7,044.50 = 1,920.77 : x
  2. Step 2: Convert to fraction form
    4,694.51/7,044.50 = 1,920.77/x
  3. Step 3: Cross multiply
    4,694.51x = 7,044.50 × 1,920.77
  4. Step 4: Simplify right side
    4,694.51x = 13,530,864.27
  5. Step 5: Solve for x
    x = 13,530,864.27/4,694.51
  6. Step 6: Final answer
    x = 2,882.27

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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.