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Finding the Fourth Proportional to 1,576.16, 2,360.64 and 1,344.80

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Solution

The fourth proportional to 1,576.16, 2,360.64 and 1,344.80 is: 2,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.16 : 2,360.64 = 1,344.80 : x
  2. Step 2: Convert to fraction form
    1,576.16/2,360.64 = 1,344.80/x
  3. Step 3: Cross multiply
    1,576.16x = 2,360.64 × 1,344.80
  4. Step 4: Simplify right side
    1,576.16x = 3,174,588.67
  5. Step 5: Solve for x
    x = 3,174,588.67/1,576.16
  6. Step 6: Final answer
    x = 2,014.13

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