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Finding the Fourth Proportional to 3,029.80, 4,181.22 and 1,703.46

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Solution

The fourth proportional to 3,029.80, 4,181.22 and 1,703.46 is: 2,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.80 : 4,181.22 = 1,703.46 : x
  2. Step 2: Convert to fraction form
    3,029.80/4,181.22 = 1,703.46/x
  3. Step 3: Cross multiply
    3,029.80x = 4,181.22 × 1,703.46
  4. Step 4: Simplify right side
    3,029.80x = 7,122,541.02
  5. Step 5: Solve for x
    x = 7,122,541.02/3,029.80
  6. Step 6: Final answer
    x = 2,350.83

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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.