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Finding the Fourth Proportional to 3,102.19, 4,652.29 and 1,021.73

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Solution

The fourth proportional to 3,102.19, 4,652.29 and 1,021.73 is: 1,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.19 : 4,652.29 = 1,021.73 : x
  2. Step 2: Convert to fraction form
    3,102.19/4,652.29 = 1,021.73/x
  3. Step 3: Cross multiply
    3,102.19x = 4,652.29 × 1,021.73
  4. Step 4: Simplify right side
    3,102.19x = 4,753,358.45
  5. Step 5: Solve for x
    x = 4,753,358.45/3,102.19
  6. Step 6: Final answer
    x = 1,532.26

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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.