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Finding the Fourth Proportional to 3,430.82, 5,146.23 and 833.75

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Solution

The fourth proportional to 3,430.82, 5,146.23 and 833.75 is: 1,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.82 : 5,146.23 = 833.75 : x
  2. Step 2: Convert to fraction form
    3,430.82/5,146.23 = 833.75/x
  3. Step 3: Cross multiply
    3,430.82x = 5,146.23 × 833.75
  4. Step 4: Simplify right side
    3,430.82x = 4,290,669.26
  5. Step 5: Solve for x
    x = 4,290,669.26/3,430.82
  6. Step 6: Final answer
    x = 1,250.63

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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.