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Finding the Fourth Proportional to 3,464.85, 4,780.04 and 2,205.84

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Solution

The fourth proportional to 3,464.85, 4,780.04 and 2,205.84 is: 3,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.85 : 4,780.04 = 2,205.84 : x
  2. Step 2: Convert to fraction form
    3,464.85/4,780.04 = 2,205.84/x
  3. Step 3: Cross multiply
    3,464.85x = 4,780.04 × 2,205.84
  4. Step 4: Simplify right side
    3,464.85x = 10,543,992.40
  5. Step 5: Solve for x
    x = 10,543,992.40/3,464.85
  6. Step 6: Final answer
    x = 3,043.13

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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.