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Finding the Fourth Proportional to 2,730.51, 3,768.66 and 1,611.72

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Solution

The fourth proportional to 2,730.51, 3,768.66 and 1,611.72 is: 2,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.51 : 3,768.66 = 1,611.72 : x
  2. Step 2: Convert to fraction form
    2,730.51/3,768.66 = 1,611.72/x
  3. Step 3: Cross multiply
    2,730.51x = 3,768.66 × 1,611.72
  4. Step 4: Simplify right side
    2,730.51x = 6,074,024.70
  5. Step 5: Solve for x
    x = 6,074,024.70/2,730.51
  6. Step 6: Final answer
    x = 2,224.50

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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.