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Finding the Fourth Proportional to 3,020.30, 4,530.14 and 940.38

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Solution

The fourth proportional to 3,020.30, 4,530.14 and 940.38 is: 1,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.30 : 4,530.14 = 940.38 : x
  2. Step 2: Convert to fraction form
    3,020.30/4,530.14 = 940.38/x
  3. Step 3: Cross multiply
    3,020.30x = 4,530.14 × 940.38
  4. Step 4: Simplify right side
    3,020.30x = 4,260,053.05
  5. Step 5: Solve for x
    x = 4,260,053.05/3,020.30
  6. Step 6: Final answer
    x = 1,410.47

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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.