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Finding the Fourth Proportional to 2,733.70, 3,772.58 and 1,614.54

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Solution

The fourth proportional to 2,733.70, 3,772.58 and 1,614.54 is: 2,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.70 : 3,772.58 = 1,614.54 : x
  2. Step 2: Convert to fraction form
    2,733.70/3,772.58 = 1,614.54/x
  3. Step 3: Cross multiply
    2,733.70x = 3,772.58 × 1,614.54
  4. Step 4: Simplify right side
    2,733.70x = 6,090,981.31
  5. Step 5: Solve for x
    x = 6,090,981.31/2,733.70
  6. Step 6: Final answer
    x = 2,228.11

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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.