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Finding the Fourth Proportional to 2,007.42, 3,012.12 and 968.30

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Solution

The fourth proportional to 2,007.42, 3,012.12 and 968.30 is: 1,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.42 : 3,012.12 = 968.30 : x
  2. Step 2: Convert to fraction form
    2,007.42/3,012.12 = 968.30/x
  3. Step 3: Cross multiply
    2,007.42x = 3,012.12 × 968.30
  4. Step 4: Simplify right side
    2,007.42x = 2,916,630.95
  5. Step 5: Solve for x
    x = 2,916,630.95/2,007.42
  6. Step 6: Final answer
    x = 1,452.93

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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.