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Finding the Fourth Proportional to 1,566.81, 2,350.71 and 1,075.32

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Solution

The fourth proportional to 1,566.81, 2,350.71 and 1,075.32 is: 1,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.81 : 2,350.71 = 1,075.32 : x
  2. Step 2: Convert to fraction form
    1,566.81/2,350.71 = 1,075.32/x
  3. Step 3: Cross multiply
    1,566.81x = 2,350.71 × 1,075.32
  4. Step 4: Simplify right side
    1,566.81x = 2,527,765.48
  5. Step 5: Solve for x
    x = 2,527,765.48/1,566.81
  6. Step 6: Final answer
    x = 1,613.32

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