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Finding the Fourth Proportional to 2,966.28, 4,093.54 and 1,920.17

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Solution

The fourth proportional to 2,966.28, 4,093.54 and 1,920.17 is: 2,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.28 : 4,093.54 = 1,920.17 : x
  2. Step 2: Convert to fraction form
    2,966.28/4,093.54 = 1,920.17/x
  3. Step 3: Cross multiply
    2,966.28x = 4,093.54 × 1,920.17
  4. Step 4: Simplify right side
    2,966.28x = 7,860,262.63
  5. Step 5: Solve for x
    x = 7,860,262.63/2,966.28
  6. Step 6: Final answer
    x = 2,649.87

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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.