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Finding the Fourth Proportional to 2,992.82, 4,490.24 and 1,531.58

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Solution

The fourth proportional to 2,992.82, 4,490.24 and 1,531.58 is: 2,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.82 : 4,490.24 = 1,531.58 : x
  2. Step 2: Convert to fraction form
    2,992.82/4,490.24 = 1,531.58/x
  3. Step 3: Cross multiply
    2,992.82x = 4,490.24 × 1,531.58
  4. Step 4: Simplify right side
    2,992.82x = 6,877,161.78
  5. Step 5: Solve for x
    x = 6,877,161.78/2,992.82
  6. Step 6: Final answer
    x = 2,297.89

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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.