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Finding the Fourth Proportional to 1,675.76, 2,507.46 and 1,306.70

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Solution

The fourth proportional to 1,675.76, 2,507.46 and 1,306.70 is: 1,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.76 : 2,507.46 = 1,306.70 : x
  2. Step 2: Convert to fraction form
    1,675.76/2,507.46 = 1,306.70/x
  3. Step 3: Cross multiply
    1,675.76x = 2,507.46 × 1,306.70
  4. Step 4: Simplify right side
    1,675.76x = 3,276,489.95
  5. Step 5: Solve for x
    x = 3,276,489.95/1,675.76
  6. Step 6: Final answer
    x = 1,955.23

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