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Finding the Fourth Proportional to 1,539.78, 2,310.32 and 1,046.74

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Solution

The fourth proportional to 1,539.78, 2,310.32 and 1,046.74 is: 1,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.78 : 2,310.32 = 1,046.74 : x
  2. Step 2: Convert to fraction form
    1,539.78/2,310.32 = 1,046.74/x
  3. Step 3: Cross multiply
    1,539.78x = 2,310.32 × 1,046.74
  4. Step 4: Simplify right side
    1,539.78x = 2,418,304.36
  5. Step 5: Solve for x
    x = 2,418,304.36/1,539.78
  6. Step 6: Final answer
    x = 1,570.55

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