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Finding the Fourth Proportional to 1,714.80, 2,570.70 and 1,165.20

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Solution

The fourth proportional to 1,714.80, 2,570.70 and 1,165.20 is: 1,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.80 : 2,570.70 = 1,165.20 : x
  2. Step 2: Convert to fraction form
    1,714.80/2,570.70 = 1,165.20/x
  3. Step 3: Cross multiply
    1,714.80x = 2,570.70 × 1,165.20
  4. Step 4: Simplify right side
    1,714.80x = 2,995,379.64
  5. Step 5: Solve for x
    x = 2,995,379.64/1,714.80
  6. Step 6: Final answer
    x = 1,746.78

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