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Finding the Fourth Proportional to 1,648.84, 2,470.56 and 1,282.72

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Solution

The fourth proportional to 1,648.84, 2,470.56 and 1,282.72 is: 1,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.84 : 2,470.56 = 1,282.72 : x
  2. Step 2: Convert to fraction form
    1,648.84/2,470.56 = 1,282.72/x
  3. Step 3: Cross multiply
    1,648.84x = 2,470.56 × 1,282.72
  4. Step 4: Simplify right side
    1,648.84x = 3,169,036.72
  5. Step 5: Solve for x
    x = 3,169,036.72/1,648.84
  6. Step 6: Final answer
    x = 1,921.98

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