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Finding the Fourth Proportional to 2,291.15, 3,436.73 and 830.28

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Solution

The fourth proportional to 2,291.15, 3,436.73 and 830.28 is: 1,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.15 : 3,436.73 = 830.28 : x
  2. Step 2: Convert to fraction form
    2,291.15/3,436.73 = 830.28/x
  3. Step 3: Cross multiply
    2,291.15x = 3,436.73 × 830.28
  4. Step 4: Simplify right side
    2,291.15x = 2,853,444.03
  5. Step 5: Solve for x
    x = 2,853,444.03/2,291.15
  6. Step 6: Final answer
    x = 1,245.42

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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.