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Finding the Fourth Proportional to 2,588.63, 3,875.45 and 1,974.78

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Solution

The fourth proportional to 2,588.63, 3,875.45 and 1,974.78 is: 2,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.63 : 3,875.45 = 1,974.78 : x
  2. Step 2: Convert to fraction form
    2,588.63/3,875.45 = 1,974.78/x
  3. Step 3: Cross multiply
    2,588.63x = 3,875.45 × 1,974.78
  4. Step 4: Simplify right side
    2,588.63x = 7,653,151.28
  5. Step 5: Solve for x
    x = 7,653,151.28/2,588.63
  6. Step 6: Final answer
    x = 2,956.45

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