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Finding the Fourth Proportional to 2,039.99, 3,059.49 and 653.06

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Solution

The fourth proportional to 2,039.99, 3,059.49 and 653.06 is: 979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.99 : 3,059.49 = 653.06 : x
  2. Step 2: Convert to fraction form
    2,039.99/3,059.49 = 653.06/x
  3. Step 3: Cross multiply
    2,039.99x = 3,059.49 × 653.06
  4. Step 4: Simplify right side
    2,039.99x = 1,998,036.96
  5. Step 5: Solve for x
    x = 1,998,036.96/2,039.99
  6. Step 6: Final answer
    x = 979.44

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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.