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Finding the Fourth Proportional to 1,985.69, 2,978.51 and 687.16

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Solution

The fourth proportional to 1,985.69, 2,978.51 and 687.16 is: 1,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.69 : 2,978.51 = 687.16 : x
  2. Step 2: Convert to fraction form
    1,985.69/2,978.51 = 687.16/x
  3. Step 3: Cross multiply
    1,985.69x = 2,978.51 × 687.16
  4. Step 4: Simplify right side
    1,985.69x = 2,046,707.20
  5. Step 5: Solve for x
    x = 2,046,707.20/1,985.69
  6. Step 6: Final answer
    x = 1,030.73

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