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Finding the Fourth Proportional to 1,699.28, 2,531.84 and 1,587.52

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Solution

The fourth proportional to 1,699.28, 2,531.84 and 1,587.52 is: 2,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.28 : 2,531.84 = 1,587.52 : x
  2. Step 2: Convert to fraction form
    1,699.28/2,531.84 = 1,587.52/x
  3. Step 3: Cross multiply
    1,699.28x = 2,531.84 × 1,587.52
  4. Step 4: Simplify right side
    1,699.28x = 4,019,346.64
  5. Step 5: Solve for x
    x = 4,019,346.64/1,699.28
  6. Step 6: Final answer
    x = 2,365.32

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