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Finding the Fourth Proportional to 3,167.97, 4,752.56 and 976.31

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Solution

The fourth proportional to 3,167.97, 4,752.56 and 976.31 is: 1,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.97 : 4,752.56 = 976.31 : x
  2. Step 2: Convert to fraction form
    3,167.97/4,752.56 = 976.31/x
  3. Step 3: Cross multiply
    3,167.97x = 4,752.56 × 976.31
  4. Step 4: Simplify right side
    3,167.97x = 4,639,971.85
  5. Step 5: Solve for x
    x = 4,639,971.85/3,167.97
  6. Step 6: Final answer
    x = 1,464.65

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1.5x scale

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.