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Finding the Fourth Proportional to 3,102.29, 4,652.88 and 1,022.32

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Solution

The fourth proportional to 3,102.29, 4,652.88 and 1,022.32 is: 1,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.29 : 4,652.88 = 1,022.32 : x
  2. Step 2: Convert to fraction form
    3,102.29/4,652.88 = 1,022.32/x
  3. Step 3: Cross multiply
    3,102.29x = 4,652.88 × 1,022.32
  4. Step 4: Simplify right side
    3,102.29x = 4,756,732.28
  5. Step 5: Solve for x
    x = 4,756,732.28/3,102.29
  6. Step 6: Final answer
    x = 1,533.30

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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.