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Finding the Fourth Proportional to 1,699.80, 2,547.30 and 1,257.60

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Solution

The fourth proportional to 1,699.80, 2,547.30 and 1,257.60 is: 1,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.80 : 2,547.30 = 1,257.60 : x
  2. Step 2: Convert to fraction form
    1,699.80/2,547.30 = 1,257.60/x
  3. Step 3: Cross multiply
    1,699.80x = 2,547.30 × 1,257.60
  4. Step 4: Simplify right side
    1,699.80x = 3,203,484.48
  5. Step 5: Solve for x
    x = 3,203,484.48/1,699.80
  6. Step 6: Final answer
    x = 1,884.62

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