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Finding the Fourth Proportional to 2,722.72, 4,084.80 and 1,336

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Solution

The fourth proportional to 2,722.72, 4,084.80 and 1,336 is: 2,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.72 : 4,084.80 = 1,336 : x
  2. Step 2: Convert to fraction form
    2,722.72/4,084.80 = 1,336/x
  3. Step 3: Cross multiply
    2,722.72x = 4,084.80 × 1,336
  4. Step 4: Simplify right side
    2,722.72x = 5,457,292.80
  5. Step 5: Solve for x
    x = 5,457,292.80/2,722.72
  6. Step 6: Final answer
    x = 2,004.35

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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.