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Finding the Fourth Proportional to 3,214.75, 4,440 and 2,164.99

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Solution

The fourth proportional to 3,214.75, 4,440 and 2,164.99 is: 2,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.75 : 4,440 = 2,164.99 : x
  2. Step 2: Convert to fraction form
    3,214.75/4,440 = 2,164.99/x
  3. Step 3: Cross multiply
    3,214.75x = 4,440 × 2,164.99
  4. Step 4: Simplify right side
    3,214.75x = 9,612,555.60
  5. Step 5: Solve for x
    x = 9,612,555.60/3,214.75
  6. Step 6: Final answer
    x = 2,990.14

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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.