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Finding the Fourth Proportional to 1,785.47, 2,678.20 and 1,742.27

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Solution

The fourth proportional to 1,785.47, 2,678.20 and 1,742.27 is: 2,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.47 : 2,678.20 = 1,742.27 : x
  2. Step 2: Convert to fraction form
    1,785.47/2,678.20 = 1,742.27/x
  3. Step 3: Cross multiply
    1,785.47x = 2,678.20 × 1,742.27
  4. Step 4: Simplify right side
    1,785.47x = 4,666,129.77
  5. Step 5: Solve for x
    x = 4,666,129.77/1,785.47
  6. Step 6: Final answer
    x = 2,613.40

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