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Finding the Fourth Proportional to 4,462.40, 6,694 and 1,175.44

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Solution

The fourth proportional to 4,462.40, 6,694 and 1,175.44 is: 1,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.40 : 6,694 = 1,175.44 : x
  2. Step 2: Convert to fraction form
    4,462.40/6,694 = 1,175.44/x
  3. Step 3: Cross multiply
    4,462.40x = 6,694 × 1,175.44
  4. Step 4: Simplify right side
    4,462.40x = 7,868,395.36
  5. Step 5: Solve for x
    x = 7,868,395.36/4,462.40
  6. Step 6: Final answer
    x = 1,763.27

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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.