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Finding the Fourth Proportional to 3,209.40, 4,814.18 and 900.88

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Solution

The fourth proportional to 3,209.40, 4,814.18 and 900.88 is: 1,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.40 : 4,814.18 = 900.88 : x
  2. Step 2: Convert to fraction form
    3,209.40/4,814.18 = 900.88/x
  3. Step 3: Cross multiply
    3,209.40x = 4,814.18 × 900.88
  4. Step 4: Simplify right side
    3,209.40x = 4,336,998.48
  5. Step 5: Solve for x
    x = 4,336,998.48/3,209.40
  6. Step 6: Final answer
    x = 1,351.34

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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.