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Finding the Fourth Proportional to 1,962.30, 2,926.92 and 1,826.22

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Solution

The fourth proportional to 1,962.30, 2,926.92 and 1,826.22 is: 2,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.30 : 2,926.92 = 1,826.22 : x
  2. Step 2: Convert to fraction form
    1,962.30/2,926.92 = 1,826.22/x
  3. Step 3: Cross multiply
    1,962.30x = 2,926.92 × 1,826.22
  4. Step 4: Simplify right side
    1,962.30x = 5,345,199.84
  5. Step 5: Solve for x
    x = 5,345,199.84/1,962.30
  6. Step 6: Final answer
    x = 2,723.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.