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Finding the Fourth Proportional to 1,701.78, 2,553.47 and 1,009.82

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Solution

The fourth proportional to 1,701.78, 2,553.47 and 1,009.82 is: 1,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.78 : 2,553.47 = 1,009.82 : x
  2. Step 2: Convert to fraction form
    1,701.78/2,553.47 = 1,009.82/x
  3. Step 3: Cross multiply
    1,701.78x = 2,553.47 × 1,009.82
  4. Step 4: Simplify right side
    1,701.78x = 2,578,541.51
  5. Step 5: Solve for x
    x = 2,578,541.51/1,701.78
  6. Step 6: Final answer
    x = 1,515.20

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