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Finding the Fourth Proportional to 1,795.78, 2,478.14 and 1,009.80

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Solution

The fourth proportional to 1,795.78, 2,478.14 and 1,009.80 is: 1,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.78 : 2,478.14 = 1,009.80 : x
  2. Step 2: Convert to fraction form
    1,795.78/2,478.14 = 1,009.80/x
  3. Step 3: Cross multiply
    1,795.78x = 2,478.14 × 1,009.80
  4. Step 4: Simplify right side
    1,795.78x = 2,502,425.77
  5. Step 5: Solve for x
    x = 2,502,425.77/1,795.78
  6. Step 6: Final answer
    x = 1,393.50

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