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Finding the Fourth Proportional to 1,665.68, 2,297.44 and 1,168.16

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Solution

The fourth proportional to 1,665.68, 2,297.44 and 1,168.16 is: 1,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.68 : 2,297.44 = 1,168.16 : x
  2. Step 2: Convert to fraction form
    1,665.68/2,297.44 = 1,168.16/x
  3. Step 3: Cross multiply
    1,665.68x = 2,297.44 × 1,168.16
  4. Step 4: Simplify right side
    1,665.68x = 2,683,777.51
  5. Step 5: Solve for x
    x = 2,683,777.51/1,665.68
  6. Step 6: Final answer
    x = 1,611.22

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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.