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Finding the Fourth Proportional to 2,565.07, 3,848.61 and 1,265.63

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Solution

The fourth proportional to 2,565.07, 3,848.61 and 1,265.63 is: 1,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.07 : 3,848.61 = 1,265.63 : x
  2. Step 2: Convert to fraction form
    2,565.07/3,848.61 = 1,265.63/x
  3. Step 3: Cross multiply
    2,565.07x = 3,848.61 × 1,265.63
  4. Step 4: Simplify right side
    2,565.07x = 4,870,901.78
  5. Step 5: Solve for x
    x = 4,870,901.78/2,565.07
  6. Step 6: Final answer
    x = 1,898.94

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