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Finding the Fourth Proportional to 1,948.74, 2,689.37 and 1,109.49

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Solution

The fourth proportional to 1,948.74, 2,689.37 and 1,109.49 is: 1,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.74 : 2,689.37 = 1,109.49 : x
  2. Step 2: Convert to fraction form
    1,948.74/2,689.37 = 1,109.49/x
  3. Step 3: Cross multiply
    1,948.74x = 2,689.37 × 1,109.49
  4. Step 4: Simplify right side
    1,948.74x = 2,983,823.57
  5. Step 5: Solve for x
    x = 2,983,823.57/1,948.74
  6. Step 6: Final answer
    x = 1,531.16

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