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Finding the Fourth Proportional to 2,569.64, 3,854.94 and 1,030.76

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Solution

The fourth proportional to 2,569.64, 3,854.94 and 1,030.76 is: 1,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.64 : 3,854.94 = 1,030.76 : x
  2. Step 2: Convert to fraction form
    2,569.64/3,854.94 = 1,030.76/x
  3. Step 3: Cross multiply
    2,569.64x = 3,854.94 × 1,030.76
  4. Step 4: Simplify right side
    2,569.64x = 3,973,517.95
  5. Step 5: Solve for x
    x = 3,973,517.95/2,569.64
  6. Step 6: Final answer
    x = 1,546.33

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