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Finding the Fourth Proportional to 3,096.69, 4,271.63 and 1,916.92

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Solution

The fourth proportional to 3,096.69, 4,271.63 and 1,916.92 is: 2,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.69 : 4,271.63 = 1,916.92 : x
  2. Step 2: Convert to fraction form
    3,096.69/4,271.63 = 1,916.92/x
  3. Step 3: Cross multiply
    3,096.69x = 4,271.63 × 1,916.92
  4. Step 4: Simplify right side
    3,096.69x = 8,188,372.98
  5. Step 5: Solve for x
    x = 8,188,372.98/3,096.69
  6. Step 6: Final answer
    x = 2,644.23

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.