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Finding the Fourth Proportional to 1,852.47, 2,780.88 and 1,462.74

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Solution

The fourth proportional to 1,852.47, 2,780.88 and 1,462.74 is: 2,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.47 : 2,780.88 = 1,462.74 : x
  2. Step 2: Convert to fraction form
    1,852.47/2,780.88 = 1,462.74/x
  3. Step 3: Cross multiply
    1,852.47x = 2,780.88 × 1,462.74
  4. Step 4: Simplify right side
    1,852.47x = 4,067,693.98
  5. Step 5: Solve for x
    x = 4,067,693.98/1,852.47
  6. Step 6: Final answer
    x = 2,195.82

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