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Finding the Fourth Proportional to 2,029.05, 2,800.04 and 1,132.83

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Solution

The fourth proportional to 2,029.05, 2,800.04 and 1,132.83 is: 1,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.05 : 2,800.04 = 1,132.83 : x
  2. Step 2: Convert to fraction form
    2,029.05/2,800.04 = 1,132.83/x
  3. Step 3: Cross multiply
    2,029.05x = 2,800.04 × 1,132.83
  4. Step 4: Simplify right side
    2,029.05x = 3,171,963.65
  5. Step 5: Solve for x
    x = 3,171,963.65/2,029.05
  6. Step 6: Final answer
    x = 1,563.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.