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Finding the Fourth Proportional to 1,985.62, 2,740.58 and 1,267.66

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Solution

The fourth proportional to 1,985.62, 2,740.58 and 1,267.66 is: 1,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.62 : 2,740.58 = 1,267.66 : x
  2. Step 2: Convert to fraction form
    1,985.62/2,740.58 = 1,267.66/x
  3. Step 3: Cross multiply
    1,985.62x = 2,740.58 × 1,267.66
  4. Step 4: Simplify right side
    1,985.62x = 3,474,123.64
  5. Step 5: Solve for x
    x = 3,474,123.64/1,985.62
  6. Step 6: Final answer
    x = 1,749.64

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