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Finding the Fourth Proportional to 1,492.13, 2,238.40 and 518.11

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Solution

The fourth proportional to 1,492.13, 2,238.40 and 518.11 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.13 : 2,238.40 = 518.11 : x
  2. Step 2: Convert to fraction form
    1,492.13/2,238.40 = 518.11/x
  3. Step 3: Cross multiply
    1,492.13x = 2,238.40 × 518.11
  4. Step 4: Simplify right side
    1,492.13x = 1,159,732.48
  5. Step 5: Solve for x
    x = 1,159,732.48/1,492.13
  6. Step 6: Final answer
    x = 777.23

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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.