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Finding the Fourth Proportional to 1,159.84, 1,739.76 and 1,140.40

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Solution

The fourth proportional to 1,159.84, 1,739.76 and 1,140.40 is: 1,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.84 : 1,739.76 = 1,140.40 : x
  2. Step 2: Convert to fraction form
    1,159.84/1,739.76 = 1,140.40/x
  3. Step 3: Cross multiply
    1,159.84x = 1,739.76 × 1,140.40
  4. Step 4: Simplify right side
    1,159.84x = 1,984,022.30
  5. Step 5: Solve for x
    x = 1,984,022.30/1,159.84
  6. Step 6: Final answer
    x = 1,710.60

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