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Finding the Fourth Proportional to 2,377.68, 3,565.08 and 1,605.84

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Solution

The fourth proportional to 2,377.68, 3,565.08 and 1,605.84 is: 2,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.68 : 3,565.08 = 1,605.84 : x
  2. Step 2: Convert to fraction form
    2,377.68/3,565.08 = 1,605.84/x
  3. Step 3: Cross multiply
    2,377.68x = 3,565.08 × 1,605.84
  4. Step 4: Simplify right side
    2,377.68x = 5,724,948.07
  5. Step 5: Solve for x
    x = 5,724,948.07/2,377.68
  6. Step 6: Final answer
    x = 2,407.79

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