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Finding the Fourth Proportional to 2,731.19, 4,096.91 and 882.29

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Solution

The fourth proportional to 2,731.19, 4,096.91 and 882.29 is: 1,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.19 : 4,096.91 = 882.29 : x
  2. Step 2: Convert to fraction form
    2,731.19/4,096.91 = 882.29/x
  3. Step 3: Cross multiply
    2,731.19x = 4,096.91 × 882.29
  4. Step 4: Simplify right side
    2,731.19x = 3,614,675.17
  5. Step 5: Solve for x
    x = 3,614,675.17/2,731.19
  6. Step 6: Final answer
    x = 1,323.48

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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.