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Finding the Fourth Proportional to 2,730.32, 3,768.10 and 1,611.60

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Solution

The fourth proportional to 2,730.32, 3,768.10 and 1,611.60 is: 2,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.32 : 3,768.10 = 1,611.60 : x
  2. Step 2: Convert to fraction form
    2,730.32/3,768.10 = 1,611.60/x
  3. Step 3: Cross multiply
    2,730.32x = 3,768.10 × 1,611.60
  4. Step 4: Simplify right side
    2,730.32x = 6,072,669.96
  5. Step 5: Solve for x
    x = 6,072,669.96/2,730.32
  6. Step 6: Final answer
    x = 2,224.16

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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.