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Finding the Fourth Proportional to 2,457.92, 3,685.80 and 1,159.76

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Solution

The fourth proportional to 2,457.92, 3,685.80 and 1,159.76 is: 1,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.92 : 3,685.80 = 1,159.76 : x
  2. Step 2: Convert to fraction form
    2,457.92/3,685.80 = 1,159.76/x
  3. Step 3: Cross multiply
    2,457.92x = 3,685.80 × 1,159.76
  4. Step 4: Simplify right side
    2,457.92x = 4,274,643.41
  5. Step 5: Solve for x
    x = 4,274,643.41/2,457.92
  6. Step 6: Final answer
    x = 1,739.13

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