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Finding the Fourth Proportional to 2,299.26, 3,448.90 and 912.94

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Solution

The fourth proportional to 2,299.26, 3,448.90 and 912.94 is: 1,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.26 : 3,448.90 = 912.94 : x
  2. Step 2: Convert to fraction form
    2,299.26/3,448.90 = 912.94/x
  3. Step 3: Cross multiply
    2,299.26x = 3,448.90 × 912.94
  4. Step 4: Simplify right side
    2,299.26x = 3,148,638.77
  5. Step 5: Solve for x
    x = 3,148,638.77/2,299.26
  6. Step 6: Final answer
    x = 1,369.41

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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.