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Finding the Fourth Proportional to 2,864.97, 3,951.44 and 1,920.46

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Solution

The fourth proportional to 2,864.97, 3,951.44 and 1,920.46 is: 2,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.97 : 3,951.44 = 1,920.46 : x
  2. Step 2: Convert to fraction form
    2,864.97/3,951.44 = 1,920.46/x
  3. Step 3: Cross multiply
    2,864.97x = 3,951.44 × 1,920.46
  4. Step 4: Simplify right side
    2,864.97x = 7,588,582.46
  5. Step 5: Solve for x
    x = 7,588,582.46/2,864.97
  6. Step 6: Final answer
    x = 2,648.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.