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Finding the Fourth Proportional to 2,731.29, 4,096.92 and 976.23

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Solution

The fourth proportional to 2,731.29, 4,096.92 and 976.23 is: 1,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.29 : 4,096.92 = 976.23 : x
  2. Step 2: Convert to fraction form
    2,731.29/4,096.92 = 976.23/x
  3. Step 3: Cross multiply
    2,731.29x = 4,096.92 × 976.23
  4. Step 4: Simplify right side
    2,731.29x = 3,999,536.21
  5. Step 5: Solve for x
    x = 3,999,536.21/2,731.29
  6. Step 6: Final answer
    x = 1,464.34

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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.