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Finding the Fourth Proportional to 3,103.17, 4,652.52 and 1,022.01

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Solution

The fourth proportional to 3,103.17, 4,652.52 and 1,022.01 is: 1,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.17 : 4,652.52 = 1,022.01 : x
  2. Step 2: Convert to fraction form
    3,103.17/4,652.52 = 1,022.01/x
  3. Step 3: Cross multiply
    3,103.17x = 4,652.52 × 1,022.01
  4. Step 4: Simplify right side
    3,103.17x = 4,754,921.97
  5. Step 5: Solve for x
    x = 4,754,921.97/3,103.17
  6. Step 6: Final answer
    x = 1,532.28

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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.