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Finding the Fourth Proportional to 1,665.82, 2,297.64 and 1,272.16

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Solution

The fourth proportional to 1,665.82, 2,297.64 and 1,272.16 is: 1,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.82 : 2,297.64 = 1,272.16 : x
  2. Step 2: Convert to fraction form
    1,665.82/2,297.64 = 1,272.16/x
  3. Step 3: Cross multiply
    1,665.82x = 2,297.64 × 1,272.16
  4. Step 4: Simplify right side
    1,665.82x = 2,922,965.70
  5. Step 5: Solve for x
    x = 2,922,965.70/1,665.82
  6. Step 6: Final answer
    x = 1,754.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.