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Finding the Fourth Proportional to 1,742.84, 2,613.44 and 1,012.60

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Solution

The fourth proportional to 1,742.84, 2,613.44 and 1,012.60 is: 1,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.84 : 2,613.44 = 1,012.60 : x
  2. Step 2: Convert to fraction form
    1,742.84/2,613.44 = 1,012.60/x
  3. Step 3: Cross multiply
    1,742.84x = 2,613.44 × 1,012.60
  4. Step 4: Simplify right side
    1,742.84x = 2,646,369.34
  5. Step 5: Solve for x
    x = 2,646,369.34/1,742.84
  6. Step 6: Final answer
    x = 1,518.42

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