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Finding the Fourth Proportional to 1,567.82, 2,359.26 and 1,292.16

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Solution

The fourth proportional to 1,567.82, 2,359.26 and 1,292.16 is: 1,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.82 : 2,359.26 = 1,292.16 : x
  2. Step 2: Convert to fraction form
    1,567.82/2,359.26 = 1,292.16/x
  3. Step 3: Cross multiply
    1,567.82x = 2,359.26 × 1,292.16
  4. Step 4: Simplify right side
    1,567.82x = 3,048,541.40
  5. Step 5: Solve for x
    x = 3,048,541.40/1,567.82
  6. Step 6: Final answer
    x = 1,944.45

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