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Finding the Fourth Proportional to 3,103.34, 4,652.54 and 1,128.66

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Solution

The fourth proportional to 3,103.34, 4,652.54 and 1,128.66 is: 1,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.34 : 4,652.54 = 1,128.66 : x
  2. Step 2: Convert to fraction form
    3,103.34/4,652.54 = 1,128.66/x
  3. Step 3: Cross multiply
    3,103.34x = 4,652.54 × 1,128.66
  4. Step 4: Simplify right side
    3,103.34x = 5,251,135.80
  5. Step 5: Solve for x
    x = 5,251,135.80/3,103.34
  6. Step 6: Final answer
    x = 1,692.09

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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.