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Finding the Fourth Proportional to 3,209.40, 4,814.16 and 900.84

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Solution

The fourth proportional to 3,209.40, 4,814.16 and 900.84 is: 1,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.40 : 4,814.16 = 900.84 : x
  2. Step 2: Convert to fraction form
    3,209.40/4,814.16 = 900.84/x
  3. Step 3: Cross multiply
    3,209.40x = 4,814.16 × 900.84
  4. Step 4: Simplify right side
    3,209.40x = 4,336,787.89
  5. Step 5: Solve for x
    x = 4,336,787.89/3,209.40
  6. Step 6: Final answer
    x = 1,351.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.