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Finding the Fourth Proportional to 2,184.15, 3,276.73 and 624.17

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Solution

The fourth proportional to 2,184.15, 3,276.73 and 624.17 is: 936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.15 : 3,276.73 = 624.17 : x
  2. Step 2: Convert to fraction form
    2,184.15/3,276.73 = 624.17/x
  3. Step 3: Cross multiply
    2,184.15x = 3,276.73 × 624.17
  4. Step 4: Simplify right side
    2,184.15x = 2,045,233.44
  5. Step 5: Solve for x
    x = 2,045,233.44/2,184.15
  6. Step 6: Final answer
    x = 936.40

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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.