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Finding the Fourth Proportional to 2,810.59, 4,213.05 and 960.44

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Solution

The fourth proportional to 2,810.59, 4,213.05 and 960.44 is: 1,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.59 : 4,213.05 = 960.44 : x
  2. Step 2: Convert to fraction form
    2,810.59/4,213.05 = 960.44/x
  3. Step 3: Cross multiply
    2,810.59x = 4,213.05 × 960.44
  4. Step 4: Simplify right side
    2,810.59x = 4,046,392.27
  5. Step 5: Solve for x
    x = 4,046,392.27/2,810.59
  6. Step 6: Final answer
    x = 1,439.70

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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.