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Finding the Fourth Proportional to 2,566.76, 3,830.18 and 2,275.16

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Solution

The fourth proportional to 2,566.76, 3,830.18 and 2,275.16 is: 3,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.76 : 3,830.18 = 2,275.16 : x
  2. Step 2: Convert to fraction form
    2,566.76/3,830.18 = 2,275.16/x
  3. Step 3: Cross multiply
    2,566.76x = 3,830.18 × 2,275.16
  4. Step 4: Simplify right side
    2,566.76x = 8,714,272.33
  5. Step 5: Solve for x
    x = 8,714,272.33/2,566.76
  6. Step 6: Final answer
    x = 3,395.05

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