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Finding the Fourth Proportional to 2,357.82, 3,538.62 and 1,384.74

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Solution

The fourth proportional to 2,357.82, 3,538.62 and 1,384.74 is: 2,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.82 : 3,538.62 = 1,384.74 : x
  2. Step 2: Convert to fraction form
    2,357.82/3,538.62 = 1,384.74/x
  3. Step 3: Cross multiply
    2,357.82x = 3,538.62 × 1,384.74
  4. Step 4: Simplify right side
    2,357.82x = 4,900,068.66
  5. Step 5: Solve for x
    x = 4,900,068.66/2,357.82
  6. Step 6: Final answer
    x = 2,078.22

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