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Finding the Fourth Proportional to 2,565.15, 3,848.94 and 1,470.44

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Solution

The fourth proportional to 2,565.15, 3,848.94 and 1,470.44 is: 2,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.15 : 3,848.94 = 1,470.44 : x
  2. Step 2: Convert to fraction form
    2,565.15/3,848.94 = 1,470.44/x
  3. Step 3: Cross multiply
    2,565.15x = 3,848.94 × 1,470.44
  4. Step 4: Simplify right side
    2,565.15x = 5,659,616.09
  5. Step 5: Solve for x
    x = 5,659,616.09/2,565.15
  6. Step 6: Final answer
    x = 2,206.35

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