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Finding the Fourth Proportional to 2,103.66, 3,155.76 and 1,128.42

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Solution

The fourth proportional to 2,103.66, 3,155.76 and 1,128.42 is: 1,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.66 : 3,155.76 = 1,128.42 : x
  2. Step 2: Convert to fraction form
    2,103.66/3,155.76 = 1,128.42/x
  3. Step 3: Cross multiply
    2,103.66x = 3,155.76 × 1,128.42
  4. Step 4: Simplify right side
    2,103.66x = 3,561,022.70
  5. Step 5: Solve for x
    x = 3,561,022.70/2,103.66
  6. Step 6: Final answer
    x = 1,692.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.