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Finding the Fourth Proportional to 2,159.49, 3,239.33 and 773.48

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Solution

The fourth proportional to 2,159.49, 3,239.33 and 773.48 is: 1,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.49 : 3,239.33 = 773.48 : x
  2. Step 2: Convert to fraction form
    2,159.49/3,239.33 = 773.48/x
  3. Step 3: Cross multiply
    2,159.49x = 3,239.33 × 773.48
  4. Step 4: Simplify right side
    2,159.49x = 2,505,536.90
  5. Step 5: Solve for x
    x = 2,505,536.90/2,159.49
  6. Step 6: Final answer
    x = 1,160.24

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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.