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Finding the Fourth Proportional to 2,560.64, 3,836.03 and 1,570.56

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Solution

The fourth proportional to 2,560.64, 3,836.03 and 1,570.56 is: 2,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.64 : 3,836.03 = 1,570.56 : x
  2. Step 2: Convert to fraction form
    2,560.64/3,836.03 = 1,570.56/x
  3. Step 3: Cross multiply
    2,560.64x = 3,836.03 × 1,570.56
  4. Step 4: Simplify right side
    2,560.64x = 6,024,707.42
  5. Step 5: Solve for x
    x = 6,024,707.42/2,560.64
  6. Step 6: Final answer
    x = 2,352.82

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