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Finding the Fourth Proportional to 2,205.94, 3,043.20 and 1,764.46

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Solution

The fourth proportional to 2,205.94, 3,043.20 and 1,764.46 is: 2,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.94 : 3,043.20 = 1,764.46 : x
  2. Step 2: Convert to fraction form
    2,205.94/3,043.20 = 1,764.46/x
  3. Step 3: Cross multiply
    2,205.94x = 3,043.20 × 1,764.46
  4. Step 4: Simplify right side
    2,205.94x = 5,369,604.67
  5. Step 5: Solve for x
    x = 5,369,604.67/2,205.94
  6. Step 6: Final answer
    x = 2,434.16

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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.