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Finding the Fourth Proportional to 2,920.05, 4,030.97 and 1,977.21

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Solution

The fourth proportional to 2,920.05, 4,030.97 and 1,977.21 is: 2,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.05 : 4,030.97 = 1,977.21 : x
  2. Step 2: Convert to fraction form
    2,920.05/4,030.97 = 1,977.21/x
  3. Step 3: Cross multiply
    2,920.05x = 4,030.97 × 1,977.21
  4. Step 4: Simplify right side
    2,920.05x = 7,970,064.31
  5. Step 5: Solve for x
    x = 7,970,064.31/2,920.05
  6. Step 6: Final answer
    x = 2,729.43

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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.