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Finding the Fourth Proportional to 4,462.81, 6,694.54 and 1,175.88

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Solution

The fourth proportional to 4,462.81, 6,694.54 and 1,175.88 is: 1,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.81 : 6,694.54 = 1,175.88 : x
  2. Step 2: Convert to fraction form
    4,462.81/6,694.54 = 1,175.88/x
  3. Step 3: Cross multiply
    4,462.81x = 6,694.54 × 1,175.88
  4. Step 4: Simplify right side
    4,462.81x = 7,871,936.34
  5. Step 5: Solve for x
    x = 7,871,936.34/4,462.81
  6. Step 6: Final answer
    x = 1,763.90

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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.