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Finding the Fourth Proportional to 2,971.60, 4,457.40 and 1,805.20

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Solution

The fourth proportional to 2,971.60, 4,457.40 and 1,805.20 is: 2,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.60 : 4,457.40 = 1,805.20 : x
  2. Step 2: Convert to fraction form
    2,971.60/4,457.40 = 1,805.20/x
  3. Step 3: Cross multiply
    2,971.60x = 4,457.40 × 1,805.20
  4. Step 4: Simplify right side
    2,971.60x = 8,046,498.48
  5. Step 5: Solve for x
    x = 8,046,498.48/2,971.60
  6. Step 6: Final answer
    x = 2,707.80

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