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Finding the Fourth Proportional to 1,422.90, 1,962.90 and 1,226.07

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Solution

The fourth proportional to 1,422.90, 1,962.90 and 1,226.07 is: 1,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.90 : 1,962.90 = 1,226.07 : x
  2. Step 2: Convert to fraction form
    1,422.90/1,962.90 = 1,226.07/x
  3. Step 3: Cross multiply
    1,422.90x = 1,962.90 × 1,226.07
  4. Step 4: Simplify right side
    1,422.90x = 2,406,652.80
  5. Step 5: Solve for x
    x = 2,406,652.80/1,422.90
  6. Step 6: Final answer
    x = 1,691.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.