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Finding the Fourth Proportional to 1,492.82, 2,062.26 and 1,233.62

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Solution

The fourth proportional to 1,492.82, 2,062.26 and 1,233.62 is: 1,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.82 : 2,062.26 = 1,233.62 : x
  2. Step 2: Convert to fraction form
    1,492.82/2,062.26 = 1,233.62/x
  3. Step 3: Cross multiply
    1,492.82x = 2,062.26 × 1,233.62
  4. Step 4: Simplify right side
    1,492.82x = 2,544,045.18
  5. Step 5: Solve for x
    x = 2,544,045.18/1,492.82
  6. Step 6: Final answer
    x = 1,704.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.