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Finding the Fourth Proportional to 2,001.12, 2,999.52 and 960.45

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Solution

The fourth proportional to 2,001.12, 2,999.52 and 960.45 is: 1,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.12 : 2,999.52 = 960.45 : x
  2. Step 2: Convert to fraction form
    2,001.12/2,999.52 = 960.45/x
  3. Step 3: Cross multiply
    2,001.12x = 2,999.52 × 960.45
  4. Step 4: Simplify right side
    2,001.12x = 2,880,888.98
  5. Step 5: Solve for x
    x = 2,880,888.98/2,001.12
  6. Step 6: Final answer
    x = 1,439.64

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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.