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Finding the Fourth Proportional to 2,663.52, 3,992.64 and 1,566.40

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Solution

The fourth proportional to 2,663.52, 3,992.64 and 1,566.40 is: 2,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.52 : 3,992.64 = 1,566.40 : x
  2. Step 2: Convert to fraction form
    2,663.52/3,992.64 = 1,566.40/x
  3. Step 3: Cross multiply
    2,663.52x = 3,992.64 × 1,566.40
  4. Step 4: Simplify right side
    2,663.52x = 6,254,071.30
  5. Step 5: Solve for x
    x = 6,254,071.30/2,663.52
  6. Step 6: Final answer
    x = 2,348.05

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