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Finding the Fourth Proportional to 3,167.84, 4,751.83 and 976.57

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Solution

The fourth proportional to 3,167.84, 4,751.83 and 976.57 is: 1,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.84 : 4,751.83 = 976.57 : x
  2. Step 2: Convert to fraction form
    3,167.84/4,751.83 = 976.57/x
  3. Step 3: Cross multiply
    3,167.84x = 4,751.83 × 976.57
  4. Step 4: Simplify right side
    3,167.84x = 4,640,483.96
  5. Step 5: Solve for x
    x = 4,640,483.96/3,167.84
  6. Step 6: Final answer
    x = 1,464.87

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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.