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Finding the Fourth Proportional to 2,730.65, 3,768.27 and 1,611.59

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Solution

The fourth proportional to 2,730.65, 3,768.27 and 1,611.59 is: 2,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.65 : 3,768.27 = 1,611.59 : x
  2. Step 2: Convert to fraction form
    2,730.65/3,768.27 = 1,611.59/x
  3. Step 3: Cross multiply
    2,730.65x = 3,768.27 × 1,611.59
  4. Step 4: Simplify right side
    2,730.65x = 6,072,887.41
  5. Step 5: Solve for x
    x = 6,072,887.41/2,730.65
  6. Step 6: Final answer
    x = 2,223.98

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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.