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Finding the Fourth Proportional to 2,029.24, 2,800.02 and 1,232.47

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Solution

The fourth proportional to 2,029.24, 2,800.02 and 1,232.47 is: 1,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.24 : 2,800.02 = 1,232.47 : x
  2. Step 2: Convert to fraction form
    2,029.24/2,800.02 = 1,232.47/x
  3. Step 3: Cross multiply
    2,029.24x = 2,800.02 × 1,232.47
  4. Step 4: Simplify right side
    2,029.24x = 3,450,940.65
  5. Step 5: Solve for x
    x = 3,450,940.65/2,029.24
  6. Step 6: Final answer
    x = 1,700.61

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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.