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Finding the Fourth Proportional to 2,992.80, 4,490.08 and 1,532.94

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Solution

The fourth proportional to 2,992.80, 4,490.08 and 1,532.94 is: 2,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.80 : 4,490.08 = 1,532.94 : x
  2. Step 2: Convert to fraction form
    2,992.80/4,490.08 = 1,532.94/x
  3. Step 3: Cross multiply
    2,992.80x = 4,490.08 × 1,532.94
  4. Step 4: Simplify right side
    2,992.80x = 6,883,023.24
  5. Step 5: Solve for x
    x = 6,883,023.24/2,992.80
  6. Step 6: Final answer
    x = 2,299.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.