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Finding the Fourth Proportional to 2,730.14, 4,094.89 and 755.91

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Solution

The fourth proportional to 2,730.14, 4,094.89 and 755.91 is: 1,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.14 : 4,094.89 = 755.91 : x
  2. Step 2: Convert to fraction form
    2,730.14/4,094.89 = 755.91/x
  3. Step 3: Cross multiply
    2,730.14x = 4,094.89 × 755.91
  4. Step 4: Simplify right side
    2,730.14x = 3,095,368.30
  5. Step 5: Solve for x
    x = 3,095,368.30/2,730.14
  6. Step 6: Final answer
    x = 1,133.78

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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.