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Finding the Fourth Proportional to 1,972.70, 2,959.05 and 1,648.70

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Solution

The fourth proportional to 1,972.70, 2,959.05 and 1,648.70 is: 2,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.70 : 2,959.05 = 1,648.70 : x
  2. Step 2: Convert to fraction form
    1,972.70/2,959.05 = 1,648.70/x
  3. Step 3: Cross multiply
    1,972.70x = 2,959.05 × 1,648.70
  4. Step 4: Simplify right side
    1,972.70x = 4,878,585.74
  5. Step 5: Solve for x
    x = 4,878,585.74/1,972.70
  6. Step 6: Final answer
    x = 2,473.05

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