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Finding the Fourth Proportional to 1,980.64, 2,975.68 and 1,875.84

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Solution

The fourth proportional to 1,980.64, 2,975.68 and 1,875.84 is: 2,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.64 : 2,975.68 = 1,875.84 : x
  2. Step 2: Convert to fraction form
    1,980.64/2,975.68 = 1,875.84/x
  3. Step 3: Cross multiply
    1,980.64x = 2,975.68 × 1,875.84
  4. Step 4: Simplify right side
    1,980.64x = 5,581,899.57
  5. Step 5: Solve for x
    x = 5,581,899.57/1,980.64
  6. Step 6: Final answer
    x = 2,818.23

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