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Finding the Fourth Proportional to 3,077, 4,616.85 and 1,615.81

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Solution

The fourth proportional to 3,077, 4,616.85 and 1,615.81 is: 2,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 4,616.85 = 1,615.81 : x
  2. Step 2: Convert to fraction form
    3,077/4,616.85 = 1,615.81/x
  3. Step 3: Cross multiply
    3,077x = 4,616.85 × 1,615.81
  4. Step 4: Simplify right side
    3,077x = 7,459,952.40
  5. Step 5: Solve for x
    x = 7,459,952.40/3,077
  6. Step 6: Final answer
    x = 2,424.42

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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.