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Finding the Fourth Proportional to 2,992.74, 4,490.01 and 1,532.91

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Solution

The fourth proportional to 2,992.74, 4,490.01 and 1,532.91 is: 2,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.74 : 4,490.01 = 1,532.91 : x
  2. Step 2: Convert to fraction form
    2,992.74/4,490.01 = 1,532.91/x
  3. Step 3: Cross multiply
    2,992.74x = 4,490.01 × 1,532.91
  4. Step 4: Simplify right side
    2,992.74x = 6,882,781.23
  5. Step 5: Solve for x
    x = 6,882,781.23/2,992.74
  6. Step 6: Final answer
    x = 2,299.83

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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.