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Finding the Fourth Proportional to 1,566.97, 2,347.81 and 948.78

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Solution

The fourth proportional to 1,566.97, 2,347.81 and 948.78 is: 1,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.97 : 2,347.81 = 948.78 : x
  2. Step 2: Convert to fraction form
    1,566.97/2,347.81 = 948.78/x
  3. Step 3: Cross multiply
    1,566.97x = 2,347.81 × 948.78
  4. Step 4: Simplify right side
    1,566.97x = 2,227,555.17
  5. Step 5: Solve for x
    x = 2,227,555.17/1,566.97
  6. Step 6: Final answer
    x = 1,421.57

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