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Finding the Fourth Proportional to 2,039.63, 3,059.45 and 500.63

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Solution

The fourth proportional to 2,039.63, 3,059.45 and 500.63 is: 750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.63 : 3,059.45 = 500.63 : x
  2. Step 2: Convert to fraction form
    2,039.63/3,059.45 = 500.63/x
  3. Step 3: Cross multiply
    2,039.63x = 3,059.45 × 500.63
  4. Step 4: Simplify right side
    2,039.63x = 1,531,634.65
  5. Step 5: Solve for x
    x = 1,531,634.65/2,039.63
  6. Step 6: Final answer
    x = 750.94

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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.