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Finding the Fourth Proportional to 1,492.42, 2,238.89 and 518.29

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Solution

The fourth proportional to 1,492.42, 2,238.89 and 518.29 is: 777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.42 : 2,238.89 = 518.29 : x
  2. Step 2: Convert to fraction form
    1,492.42/2,238.89 = 518.29/x
  3. Step 3: Cross multiply
    1,492.42x = 2,238.89 × 518.29
  4. Step 4: Simplify right side
    1,492.42x = 1,160,394.30
  5. Step 5: Solve for x
    x = 1,160,394.30/1,492.42
  6. Step 6: Final answer
    x = 777.53

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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.