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Finding the Fourth Proportional to 1,926.23, 2,890.43 and 886.09

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Solution

The fourth proportional to 1,926.23, 2,890.43 and 886.09 is: 1,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.23 : 2,890.43 = 886.09 : x
  2. Step 2: Convert to fraction form
    1,926.23/2,890.43 = 886.09/x
  3. Step 3: Cross multiply
    1,926.23x = 2,890.43 × 886.09
  4. Step 4: Simplify right side
    1,926.23x = 2,561,183.19
  5. Step 5: Solve for x
    x = 2,561,183.19/1,926.23
  6. Step 6: Final answer
    x = 1,329.63

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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.