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Finding the Fourth Proportional to 3,100.80, 4,650.22 and 1,020.32

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Solution

The fourth proportional to 3,100.80, 4,650.22 and 1,020.32 is: 1,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.80 : 4,650.22 = 1,020.32 : x
  2. Step 2: Convert to fraction form
    3,100.80/4,650.22 = 1,020.32/x
  3. Step 3: Cross multiply
    3,100.80x = 4,650.22 × 1,020.32
  4. Step 4: Simplify right side
    3,100.80x = 4,744,721.55
  5. Step 5: Solve for x
    x = 4,744,721.55/3,100.80
  6. Step 6: Final answer
    x = 1,530.16

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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.