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Finding the Fourth Proportional to 2,029.07, 2,800.31 and 1,232.21

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Solution

The fourth proportional to 2,029.07, 2,800.31 and 1,232.21 is: 1,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.07 : 2,800.31 = 1,232.21 : x
  2. Step 2: Convert to fraction form
    2,029.07/2,800.31 = 1,232.21/x
  3. Step 3: Cross multiply
    2,029.07x = 2,800.31 × 1,232.21
  4. Step 4: Simplify right side
    2,029.07x = 3,450,570.82
  5. Step 5: Solve for x
    x = 3,450,570.82/2,029.07
  6. Step 6: Final answer
    x = 1,700.57

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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.