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Finding the Fourth Proportional to 3,364.64, 4,644.78 and 2,020.90

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Solution

The fourth proportional to 3,364.64, 4,644.78 and 2,020.90 is: 2,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.64 : 4,644.78 = 2,020.90 : x
  2. Step 2: Convert to fraction form
    3,364.64/4,644.78 = 2,020.90/x
  3. Step 3: Cross multiply
    3,364.64x = 4,644.78 × 2,020.90
  4. Step 4: Simplify right side
    3,364.64x = 9,386,602.57
  5. Step 5: Solve for x
    x = 9,386,602.57/3,364.64
  6. Step 6: Final answer
    x = 2,789.78

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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.