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Finding the Fourth Proportional to 2,730.93, 4,096.82 and 1,170.91

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Solution

The fourth proportional to 2,730.93, 4,096.82 and 1,170.91 is: 1,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.93 : 4,096.82 = 1,170.91 : x
  2. Step 2: Convert to fraction form
    2,730.93/4,096.82 = 1,170.91/x
  3. Step 3: Cross multiply
    2,730.93x = 4,096.82 × 1,170.91
  4. Step 4: Simplify right side
    2,730.93x = 4,797,007.51
  5. Step 5: Solve for x
    x = 4,797,007.51/2,730.93
  6. Step 6: Final answer
    x = 1,756.55

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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.