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Finding the Fourth Proportional to 3,347.78, 5,021.22 and 882.80

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Solution

The fourth proportional to 3,347.78, 5,021.22 and 882.80 is: 1,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.78 : 5,021.22 = 882.80 : x
  2. Step 2: Convert to fraction form
    3,347.78/5,021.22 = 882.80/x
  3. Step 3: Cross multiply
    3,347.78x = 5,021.22 × 882.80
  4. Step 4: Simplify right side
    3,347.78x = 4,432,733.02
  5. Step 5: Solve for x
    x = 4,432,733.02/3,347.78
  6. Step 6: Final answer
    x = 1,324.08

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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.