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Finding the Fourth Proportional to 1,698, 2,547.96 and 786

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Solution

The fourth proportional to 1,698, 2,547.96 and 786 is: 1,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 2,547.96 = 786 : x
  2. Step 2: Convert to fraction form
    1,698/2,547.96 = 786/x
  3. Step 3: Cross multiply
    1,698x = 2,547.96 × 786
  4. Step 4: Simplify right side
    1,698x = 2,002,696.56
  5. Step 5: Solve for x
    x = 2,002,696.56/1,698
  6. Step 6: Final answer
    x = 1,179.44

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