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Finding the Fourth Proportional to 2,529, 3,490.02 and 1,598.76

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Solution

The fourth proportional to 2,529, 3,490.02 and 1,598.76 is: 2,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529 : 3,490.02 = 1,598.76 : x
  2. Step 2: Convert to fraction form
    2,529/3,490.02 = 1,598.76/x
  3. Step 3: Cross multiply
    2,529x = 3,490.02 × 1,598.76
  4. Step 4: Simplify right side
    2,529x = 5,579,704.38
  5. Step 5: Solve for x
    x = 5,579,704.38/2,529
  6. Step 6: Final answer
    x = 2,206.29

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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.