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Finding the Fourth Proportional to 3,380.94, 4,666.48 and 2,199.96

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Solution

The fourth proportional to 3,380.94, 4,666.48 and 2,199.96 is: 3,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.94 : 4,666.48 = 2,199.96 : x
  2. Step 2: Convert to fraction form
    3,380.94/4,666.48 = 2,199.96/x
  3. Step 3: Cross multiply
    3,380.94x = 4,666.48 × 2,199.96
  4. Step 4: Simplify right side
    3,380.94x = 10,266,063.84
  5. Step 5: Solve for x
    x = 10,266,063.84/3,380.94
  6. Step 6: Final answer
    x = 3,036.45

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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.