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Finding the Fourth Proportional to 2,529, 3,490.02 and 1,481.94

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Solution

The fourth proportional to 2,529, 3,490.02 and 1,481.94 is: 2,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529 : 3,490.02 = 1,481.94 : x
  2. Step 2: Convert to fraction form
    2,529/3,490.02 = 1,481.94/x
  3. Step 3: Cross multiply
    2,529x = 3,490.02 × 1,481.94
  4. Step 4: Simplify right side
    2,529x = 5,172,000.24
  5. Step 5: Solve for x
    x = 5,172,000.24/2,529
  6. Step 6: Final answer
    x = 2,045.08

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Why These Related Problems?

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