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Finding the Fourth Proportional to 2,566.75, 3,841.80 and 1,332.40

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Solution

The fourth proportional to 2,566.75, 3,841.80 and 1,332.40 is: 1,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.75 : 3,841.80 = 1,332.40 : x
  2. Step 2: Convert to fraction form
    2,566.75/3,841.80 = 1,332.40/x
  3. Step 3: Cross multiply
    2,566.75x = 3,841.80 × 1,332.40
  4. Step 4: Simplify right side
    2,566.75x = 5,118,814.32
  5. Step 5: Solve for x
    x = 5,118,814.32/2,566.75
  6. Step 6: Final answer
    x = 1,994.28

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