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Finding the Fourth Proportional to 3,019.23, 4,528.30 and 827.77

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Solution

The fourth proportional to 3,019.23, 4,528.30 and 827.77 is: 1,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.23 : 4,528.30 = 827.77 : x
  2. Step 2: Convert to fraction form
    3,019.23/4,528.30 = 827.77/x
  3. Step 3: Cross multiply
    3,019.23x = 4,528.30 × 827.77
  4. Step 4: Simplify right side
    3,019.23x = 3,748,390.89
  5. Step 5: Solve for x
    x = 3,748,390.89/3,019.23
  6. Step 6: Final answer
    x = 1,241.51

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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.