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Finding the Fourth Proportional to 1,575.79, 2,351.36 and 1,566.68

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Solution

The fourth proportional to 1,575.79, 2,351.36 and 1,566.68 is: 2,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.79 : 2,351.36 = 1,566.68 : x
  2. Step 2: Convert to fraction form
    1,575.79/2,351.36 = 1,566.68/x
  3. Step 3: Cross multiply
    1,575.79x = 2,351.36 × 1,566.68
  4. Step 4: Simplify right side
    1,575.79x = 3,683,820.84
  5. Step 5: Solve for x
    x = 3,683,820.84/1,575.79
  6. Step 6: Final answer
    x = 2,337.76

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