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Finding the Fourth Proportional to 3,013.23, 4,518.89 and 960.75

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Solution

The fourth proportional to 3,013.23, 4,518.89 and 960.75 is: 1,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.23 : 4,518.89 = 960.75 : x
  2. Step 2: Convert to fraction form
    3,013.23/4,518.89 = 960.75/x
  3. Step 3: Cross multiply
    3,013.23x = 4,518.89 × 960.75
  4. Step 4: Simplify right side
    3,013.23x = 4,341,518.76
  5. Step 5: Solve for x
    x = 4,341,518.76/3,013.23
  6. Step 6: Final answer
    x = 1,440.82

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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.