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Finding the Fourth Proportional to 1,746.31, 2,619.53 and 513.72

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Solution

The fourth proportional to 1,746.31, 2,619.53 and 513.72 is: 770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.31 : 2,619.53 = 513.72 : x
  2. Step 2: Convert to fraction form
    1,746.31/2,619.53 = 513.72/x
  3. Step 3: Cross multiply
    1,746.31x = 2,619.53 × 513.72
  4. Step 4: Simplify right side
    1,746.31x = 1,345,704.95
  5. Step 5: Solve for x
    x = 1,345,704.95/1,746.31
  6. Step 6: Final answer
    x = 770.60

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