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Finding the Fourth Proportional to 2,205.84, 3,043.26 and 1,733.88

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Solution

The fourth proportional to 2,205.84, 3,043.26 and 1,733.88 is: 2,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.84 : 3,043.26 = 1,733.88 : x
  2. Step 2: Convert to fraction form
    2,205.84/3,043.26 = 1,733.88/x
  3. Step 3: Cross multiply
    2,205.84x = 3,043.26 × 1,733.88
  4. Step 4: Simplify right side
    2,205.84x = 5,276,647.65
  5. Step 5: Solve for x
    x = 5,276,647.65/2,205.84
  6. Step 6: Final answer
    x = 2,392.13

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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.