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Finding the Fourth Proportional to 1,649.76, 2,278.62 and 1,314.80

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Solution

The fourth proportional to 1,649.76, 2,278.62 and 1,314.80 is: 1,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.76 : 2,278.62 = 1,314.80 : x
  2. Step 2: Convert to fraction form
    1,649.76/2,278.62 = 1,314.80/x
  3. Step 3: Cross multiply
    1,649.76x = 2,278.62 × 1,314.80
  4. Step 4: Simplify right side
    1,649.76x = 2,995,929.58
  5. Step 5: Solve for x
    x = 2,995,929.58/1,649.76
  6. Step 6: Final answer
    x = 1,815.98

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