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Finding the Fourth Proportional to 2,251.76, 3,375.40 and 1,566.32

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Solution

The fourth proportional to 2,251.76, 3,375.40 and 1,566.32 is: 2,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.76 : 3,375.40 = 1,566.32 : x
  2. Step 2: Convert to fraction form
    2,251.76/3,375.40 = 1,566.32/x
  3. Step 3: Cross multiply
    2,251.76x = 3,375.40 × 1,566.32
  4. Step 4: Simplify right side
    2,251.76x = 5,286,956.53
  5. Step 5: Solve for x
    x = 5,286,956.53/2,251.76
  6. Step 6: Final answer
    x = 2,347.92

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