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Finding the Fourth Proportional to 2,268.12, 3,401.66 and 624.80

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Solution

The fourth proportional to 2,268.12, 3,401.66 and 624.80 is: 937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.12 : 3,401.66 = 624.80 : x
  2. Step 2: Convert to fraction form
    2,268.12/3,401.66 = 624.80/x
  3. Step 3: Cross multiply
    2,268.12x = 3,401.66 × 624.80
  4. Step 4: Simplify right side
    2,268.12x = 2,125,357.17
  5. Step 5: Solve for x
    x = 2,125,357.17/2,268.12
  6. Step 6: Final answer
    x = 937.06

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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.