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Finding the Fourth Proportional to 1,566.48, 2,157.12 and 1,532.40

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Solution

The fourth proportional to 1,566.48, 2,157.12 and 1,532.40 is: 2,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.48 : 2,157.12 = 1,532.40 : x
  2. Step 2: Convert to fraction form
    1,566.48/2,157.12 = 1,532.40/x
  3. Step 3: Cross multiply
    1,566.48x = 2,157.12 × 1,532.40
  4. Step 4: Simplify right side
    1,566.48x = 3,305,570.69
  5. Step 5: Solve for x
    x = 3,305,570.69/1,566.48
  6. Step 6: Final answer
    x = 2,110.19

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