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Finding the Fourth Proportional to 1,624.26, 2,241.93 and 961.34

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Solution

The fourth proportional to 1,624.26, 2,241.93 and 961.34 is: 1,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.26 : 2,241.93 = 961.34 : x
  2. Step 2: Convert to fraction form
    1,624.26/2,241.93 = 961.34/x
  3. Step 3: Cross multiply
    1,624.26x = 2,241.93 × 961.34
  4. Step 4: Simplify right side
    1,624.26x = 2,155,256.99
  5. Step 5: Solve for x
    x = 2,155,256.99/1,624.26
  6. Step 6: Final answer
    x = 1,326.92

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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.