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Finding the Fourth Proportional to 2,891.29, 4,336.91 and 916.92

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Solution

The fourth proportional to 2,891.29, 4,336.91 and 916.92 is: 1,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.29 : 4,336.91 = 916.92 : x
  2. Step 2: Convert to fraction form
    2,891.29/4,336.91 = 916.92/x
  3. Step 3: Cross multiply
    2,891.29x = 4,336.91 × 916.92
  4. Step 4: Simplify right side
    2,891.29x = 3,976,599.52
  5. Step 5: Solve for x
    x = 3,976,599.52/2,891.29
  6. Step 6: Final answer
    x = 1,375.37

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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.