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Finding the Fourth Proportional to 1,970.52, 2,956.82 and 1,310.78

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Solution

The fourth proportional to 1,970.52, 2,956.82 and 1,310.78 is: 1,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.52 : 2,956.82 = 1,310.78 : x
  2. Step 2: Convert to fraction form
    1,970.52/2,956.82 = 1,310.78/x
  3. Step 3: Cross multiply
    1,970.52x = 2,956.82 × 1,310.78
  4. Step 4: Simplify right side
    1,970.52x = 3,875,740.52
  5. Step 5: Solve for x
    x = 3,875,740.52/1,970.52
  6. Step 6: Final answer
    x = 1,966.86

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