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Finding the Fourth Proportional to 2,566.64, 3,849.48 and 1,598.72

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Solution

The fourth proportional to 2,566.64, 3,849.48 and 1,598.72 is: 2,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.64 : 3,849.48 = 1,598.72 : x
  2. Step 2: Convert to fraction form
    2,566.64/3,849.48 = 1,598.72/x
  3. Step 3: Cross multiply
    2,566.64x = 3,849.48 × 1,598.72
  4. Step 4: Simplify right side
    2,566.64x = 6,154,240.67
  5. Step 5: Solve for x
    x = 6,154,240.67/2,566.64
  6. Step 6: Final answer
    x = 2,397.78

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