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Finding the Fourth Proportional to 2,100.69, 3,145.14 and 1,583.10

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Solution

The fourth proportional to 2,100.69, 3,145.14 and 1,583.10 is: 2,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.69 : 3,145.14 = 1,583.10 : x
  2. Step 2: Convert to fraction form
    2,100.69/3,145.14 = 1,583.10/x
  3. Step 3: Cross multiply
    2,100.69x = 3,145.14 × 1,583.10
  4. Step 4: Simplify right side
    2,100.69x = 4,979,071.13
  5. Step 5: Solve for x
    x = 4,979,071.13/2,100.69
  6. Step 6: Final answer
    x = 2,370.21

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