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Finding the Fourth Proportional to 2,327.92, 3,492.96 and 1,461.76

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Solution

The fourth proportional to 2,327.92, 3,492.96 and 1,461.76 is: 2,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.92 : 3,492.96 = 1,461.76 : x
  2. Step 2: Convert to fraction form
    2,327.92/3,492.96 = 1,461.76/x
  3. Step 3: Cross multiply
    2,327.92x = 3,492.96 × 1,461.76
  4. Step 4: Simplify right side
    2,327.92x = 5,105,869.21
  5. Step 5: Solve for x
    x = 5,105,869.21/2,327.92
  6. Step 6: Final answer
    x = 2,193.32

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