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Finding the Fourth Proportional to 3,053.50, 4,207.28 and 2,057.03

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Solution

The fourth proportional to 3,053.50, 4,207.28 and 2,057.03 is: 2,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.50 : 4,207.28 = 2,057.03 : x
  2. Step 2: Convert to fraction form
    3,053.50/4,207.28 = 2,057.03/x
  3. Step 3: Cross multiply
    3,053.50x = 4,207.28 × 2,057.03
  4. Step 4: Simplify right side
    3,053.50x = 8,654,485.63
  5. Step 5: Solve for x
    x = 8,654,485.63/3,053.50
  6. Step 6: Final answer
    x = 2,834.29

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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.