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Finding the Fourth Proportional to 1,931.92, 2,892.48 and 1,005.46

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Solution

The fourth proportional to 1,931.92, 2,892.48 and 1,005.46 is: 1,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.92 : 2,892.48 = 1,005.46 : x
  2. Step 2: Convert to fraction form
    1,931.92/2,892.48 = 1,005.46/x
  3. Step 3: Cross multiply
    1,931.92x = 2,892.48 × 1,005.46
  4. Step 4: Simplify right side
    1,931.92x = 2,908,272.94
  5. Step 5: Solve for x
    x = 2,908,272.94/1,931.92
  6. Step 6: Final answer
    x = 1,505.38

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