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Finding the Fourth Proportional to 2,343.82, 3,516.24 and 882.98

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Solution

The fourth proportional to 2,343.82, 3,516.24 and 882.98 is: 1,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.82 : 3,516.24 = 882.98 : x
  2. Step 2: Convert to fraction form
    2,343.82/3,516.24 = 882.98/x
  3. Step 3: Cross multiply
    2,343.82x = 3,516.24 × 882.98
  4. Step 4: Simplify right side
    2,343.82x = 3,104,769.60
  5. Step 5: Solve for x
    x = 3,104,769.60/2,343.82
  6. Step 6: Final answer
    x = 1,324.66

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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.