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Finding the Fourth Proportional to 1,492.17, 2,238.26 and 518.04

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Solution

The fourth proportional to 1,492.17, 2,238.26 and 518.04 is: 777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.17 : 2,238.26 = 518.04 : x
  2. Step 2: Convert to fraction form
    1,492.17/2,238.26 = 518.04/x
  3. Step 3: Cross multiply
    1,492.17x = 2,238.26 × 518.04
  4. Step 4: Simplify right side
    1,492.17x = 1,159,508.21
  5. Step 5: Solve for x
    x = 1,159,508.21/1,492.17
  6. Step 6: Final answer
    x = 777.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.