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Finding the Fourth Proportional to 3,301.50, 4,952.26 and 961.51

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Solution

The fourth proportional to 3,301.50, 4,952.26 and 961.51 is: 1,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.50 : 4,952.26 = 961.51 : x
  2. Step 2: Convert to fraction form
    3,301.50/4,952.26 = 961.51/x
  3. Step 3: Cross multiply
    3,301.50x = 4,952.26 × 961.51
  4. Step 4: Simplify right side
    3,301.50x = 4,761,647.51
  5. Step 5: Solve for x
    x = 4,761,647.51/3,301.50
  6. Step 6: Final answer
    x = 1,442.27

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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.