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Finding the Fourth Proportional to 3,020.16, 4,530.92 and 940.12

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Solution

The fourth proportional to 3,020.16, 4,530.92 and 940.12 is: 1,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.16 : 4,530.92 = 940.12 : x
  2. Step 2: Convert to fraction form
    3,020.16/4,530.92 = 940.12/x
  3. Step 3: Cross multiply
    3,020.16x = 4,530.92 × 940.12
  4. Step 4: Simplify right side
    3,020.16x = 4,259,608.51
  5. Step 5: Solve for x
    x = 4,259,608.51/3,020.16
  6. Step 6: Final answer
    x = 1,410.39

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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.