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Finding the Fourth Proportional to 1,566.35, 2,350.65 and 1,261.88

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Solution

The fourth proportional to 1,566.35, 2,350.65 and 1,261.88 is: 1,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.35 : 2,350.65 = 1,261.88 : x
  2. Step 2: Convert to fraction form
    1,566.35/2,350.65 = 1,261.88/x
  3. Step 3: Cross multiply
    1,566.35x = 2,350.65 × 1,261.88
  4. Step 4: Simplify right side
    1,566.35x = 2,966,226.47
  5. Step 5: Solve for x
    x = 2,966,226.47/1,566.35
  6. Step 6: Final answer
    x = 1,893.72

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