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Finding the Fourth Proportional to 2,029.92, 2,797.11 and 1,671.90

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Solution

The fourth proportional to 2,029.92, 2,797.11 and 1,671.90 is: 2,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.92 : 2,797.11 = 1,671.90 : x
  2. Step 2: Convert to fraction form
    2,029.92/2,797.11 = 1,671.90/x
  3. Step 3: Cross multiply
    2,029.92x = 2,797.11 × 1,671.90
  4. Step 4: Simplify right side
    2,029.92x = 4,676,488.21
  5. Step 5: Solve for x
    x = 4,676,488.21/2,029.92
  6. Step 6: Final answer
    x = 2,303.78

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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.