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Finding the Fourth Proportional to 1,624.44, 2,241.33 and 961.02

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Solution

The fourth proportional to 1,624.44, 2,241.33 and 961.02 is: 1,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.44 : 2,241.33 = 961.02 : x
  2. Step 2: Convert to fraction form
    1,624.44/2,241.33 = 961.02/x
  3. Step 3: Cross multiply
    1,624.44x = 2,241.33 × 961.02
  4. Step 4: Simplify right side
    1,624.44x = 2,153,962.96
  5. Step 5: Solve for x
    x = 2,153,962.96/1,624.44
  6. Step 6: Final answer
    x = 1,325.97

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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.