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Finding the Fourth Proportional to 2,731.99, 4,098.36 and 882.49

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Solution

The fourth proportional to 2,731.99, 4,098.36 and 882.49 is: 1,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.99 : 4,098.36 = 882.49 : x
  2. Step 2: Convert to fraction form
    2,731.99/4,098.36 = 882.49/x
  3. Step 3: Cross multiply
    2,731.99x = 4,098.36 × 882.49
  4. Step 4: Simplify right side
    2,731.99x = 3,616,761.72
  5. Step 5: Solve for x
    x = 3,616,761.72/2,731.99
  6. Step 6: Final answer
    x = 1,323.86

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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.