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Finding the Fourth Proportional to 1,530.72, 2,296.80 and 1,164.96

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Solution

The fourth proportional to 1,530.72, 2,296.80 and 1,164.96 is: 1,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.72 : 2,296.80 = 1,164.96 : x
  2. Step 2: Convert to fraction form
    1,530.72/2,296.80 = 1,164.96/x
  3. Step 3: Cross multiply
    1,530.72x = 2,296.80 × 1,164.96
  4. Step 4: Simplify right side
    1,530.72x = 2,675,680.13
  5. Step 5: Solve for x
    x = 2,675,680.13/1,530.72
  6. Step 6: Final answer
    x = 1,747.99

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