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Finding the Fourth Proportional to 3,446.94, 4,755.51 and 2,205.66

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Solution

The fourth proportional to 3,446.94, 4,755.51 and 2,205.66 is: 3,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.94 : 4,755.51 = 2,205.66 : x
  2. Step 2: Convert to fraction form
    3,446.94/4,755.51 = 2,205.66/x
  3. Step 3: Cross multiply
    3,446.94x = 4,755.51 × 2,205.66
  4. Step 4: Simplify right side
    3,446.94x = 10,489,038.19
  5. Step 5: Solve for x
    x = 10,489,038.19/3,446.94
  6. Step 6: Final answer
    x = 3,043.00

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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.