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Finding the Fourth Proportional to 1,702.34, 2,554.14 and 1,159.64

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Solution

The fourth proportional to 1,702.34, 2,554.14 and 1,159.64 is: 1,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.34 : 2,554.14 = 1,159.64 : x
  2. Step 2: Convert to fraction form
    1,702.34/2,554.14 = 1,159.64/x
  3. Step 3: Cross multiply
    1,702.34x = 2,554.14 × 1,159.64
  4. Step 4: Simplify right side
    1,702.34x = 2,961,882.91
  5. Step 5: Solve for x
    x = 2,961,882.91/1,702.34
  6. Step 6: Final answer
    x = 1,739.89

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