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Finding the Fourth Proportional to 1,600.80, 2,207.55 and 1,128.57

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Solution

The fourth proportional to 1,600.80, 2,207.55 and 1,128.57 is: 1,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.80 : 2,207.55 = 1,128.57 : x
  2. Step 2: Convert to fraction form
    1,600.80/2,207.55 = 1,128.57/x
  3. Step 3: Cross multiply
    1,600.80x = 2,207.55 × 1,128.57
  4. Step 4: Simplify right side
    1,600.80x = 2,491,374.70
  5. Step 5: Solve for x
    x = 2,491,374.70/1,600.80
  6. Step 6: Final answer
    x = 1,556.33

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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.