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Finding the Fourth Proportional to 1,835.78, 2,533.35 and 1,007.78

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Solution

The fourth proportional to 1,835.78, 2,533.35 and 1,007.78 is: 1,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.78 : 2,533.35 = 1,007.78 : x
  2. Step 2: Convert to fraction form
    1,835.78/2,533.35 = 1,007.78/x
  3. Step 3: Cross multiply
    1,835.78x = 2,533.35 × 1,007.78
  4. Step 4: Simplify right side
    1,835.78x = 2,553,059.46
  5. Step 5: Solve for x
    x = 2,553,059.46/1,835.78
  6. Step 6: Final answer
    x = 1,390.72

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