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Finding the Fourth Proportional to 2,492.64, 3,742.91 and 1,790.98

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Solution

The fourth proportional to 2,492.64, 3,742.91 and 1,790.98 is: 2,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.64 : 3,742.91 = 1,790.98 : x
  2. Step 2: Convert to fraction form
    2,492.64/3,742.91 = 1,790.98/x
  3. Step 3: Cross multiply
    2,492.64x = 3,742.91 × 1,790.98
  4. Step 4: Simplify right side
    2,492.64x = 6,703,476.95
  5. Step 5: Solve for x
    x = 6,703,476.95/2,492.64
  6. Step 6: Final answer
    x = 2,689.31

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