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Finding the Fourth Proportional to 1,691.76, 2,534.00 and 824.25

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Solution

The fourth proportional to 1,691.76, 2,534.00 and 824.25 is: 1,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.76 : 2,534.00 = 824.25 : x
  2. Step 2: Convert to fraction form
    1,691.76/2,534.00 = 824.25/x
  3. Step 3: Cross multiply
    1,691.76x = 2,534.00 × 824.25
  4. Step 4: Simplify right side
    1,691.76x = 2,088,645.38
  5. Step 5: Solve for x
    x = 2,088,645.38/1,691.76
  6. Step 6: Final answer
    x = 1,234.60

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