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Finding the Fourth Proportional to 2,912.70, 4,369.05 and 2,596.80

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Solution

The fourth proportional to 2,912.70, 4,369.05 and 2,596.80 is: 3,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.70 : 4,369.05 = 2,596.80 : x
  2. Step 2: Convert to fraction form
    2,912.70/4,369.05 = 2,596.80/x
  3. Step 3: Cross multiply
    2,912.70x = 4,369.05 × 2,596.80
  4. Step 4: Simplify right side
    2,912.70x = 11,345,549.04
  5. Step 5: Solve for x
    x = 11,345,549.04/2,912.70
  6. Step 6: Final answer
    x = 3,895.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.