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Finding the Fourth Proportional to 1,678.74, 2,518.20 and 1,543.44

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Solution

The fourth proportional to 1,678.74, 2,518.20 and 1,543.44 is: 2,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.74 : 2,518.20 = 1,543.44 : x
  2. Step 2: Convert to fraction form
    1,678.74/2,518.20 = 1,543.44/x
  3. Step 3: Cross multiply
    1,678.74x = 2,518.20 × 1,543.44
  4. Step 4: Simplify right side
    1,678.74x = 3,886,690.61
  5. Step 5: Solve for x
    x = 3,886,690.61/1,678.74
  6. Step 6: Final answer
    x = 2,315.24

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