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Finding the Fourth Proportional to 1,175.37, 1,763.86 and 1,166.25

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Solution

The fourth proportional to 1,175.37, 1,763.86 and 1,166.25 is: 1,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.37 : 1,763.86 = 1,166.25 : x
  2. Step 2: Convert to fraction form
    1,175.37/1,763.86 = 1,166.25/x
  3. Step 3: Cross multiply
    1,175.37x = 1,763.86 × 1,166.25
  4. Step 4: Simplify right side
    1,175.37x = 2,057,101.73
  5. Step 5: Solve for x
    x = 2,057,101.73/1,175.37
  6. Step 6: Final answer
    x = 1,750.17

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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.